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1520020000000 = 285776001
BaseRepresentation
bin10110000111101000010…
…000001000110100000000
312101022102210210111211001
4112013220100020310000
5144401000110000000
63122142035501344
7214550340551335
oct26075020106400
95338383714731
101520020000000
11536700732737
1220670b757854
13b044cca4658
14537d847a98c
1529814c6646a
hex161e8408d00

1520020000000 has 144 divisors (see below), whose sum is σ = 3792668220432. Its totient is φ = 608000000000.

The previous prime is 1520019999983. The next prime is 1520020000003. The reversal of 1520020000000 is 200251.

It can be written as a sum of positive squares in 8 ways, for example, as 1307491623936 + 212528376064 = 1143456^2 + 461008^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1520020000003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19962000 + ... + 20038000.

It is an arithmetic number, because the mean of its divisors is an integer number (26337973753).

Almost surely, 21520020000000 is an apocalyptic number.

1520020000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1520020000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1896334110216).

1520020000000 is an abundant number, since it is smaller than the sum of its proper divisors (2272648220432).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1520020000000 is an frugal number, since it uses more digits than its factorization.

1520020000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76052 (or 76008 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

Adding to 1520020000000 its reverse (200251), we get a palindrome (1520020200251).

The spelling of 1520020000000 in words is "one trillion, five hundred twenty billion, twenty million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 625 640 800 1000 1250 1280 1600 2000 2500 3125 3200 4000 5000 6250 6400 8000 10000 12500 15625 16000 20000 25000 31250 32000 40000 50000 62500 76001 78125 80000 100000 125000 152002 156250 160000 200000 250000 304004 312500 380005 400000 500000 608008 625000 760010 800000 1000000 1216016 1250000 1520020 1900025 2000000 2432032 2500000 3040040 3800050 4000000 4864064 5000000 6080080 7600100 9500125 9728128 10000000 12160160 15200200 19000250 19456256 20000000 24320320 30400400 38000500 47500625 48640640 60800800 76001000 95001250 97281280 121601600 152002000 190002500 237503125 243203200 304004000 380005000 475006250 486406400 608008000 760010000 950012500 1187515625 1216016000 1520020000 1900025000 2375031250 2432032000 3040040000 3800050000 4750062500 5937578125 6080080000 7600100000 9500125000 11875156250 12160160000 15200200000 19000250000 23750312500 30400400000 38000500000 47500625000 60800800000 76001000000 95001250000 152002000000 190002500000 304004000000 380005000000 760010000000 1520020000000