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1053200000 = 27552633
BaseRepresentation
bin111110110001101…
…000111010000000
32201101210002210102
4332301220322000
54124104400000
6252301421532
735046023636
oct7661507200
92641702712
101053200000
114a055a826
1225486a8a8
1313a275c88
149dc39356
15626de3d5
hex3ec68e80

1053200000 has 96 divisors (see below), whose sum is σ = 2623543020. Its totient is φ = 421120000.

The previous prime is 1053199999. The next prime is 1053200009. The reversal of 1053200000 is 23501.

It can be written as a sum of positive squares in 6 ways, for example, as 277688896 + 775511104 = 16664^2 + 27848^2 .

It is a super-2 number, since 2×10532000002 = 2218460480000000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1053200009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 398684 + ... + 401316.

Almost surely, 21053200000 is an apocalyptic number.

1053200000 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 1053200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1311771510).

1053200000 is an abundant number, since it is smaller than the sum of its proper divisors (1570343020).

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

1053200000 is an frugal number, since it uses more digits than its factorization.

1053200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2672 (or 2640 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 11.

The square root of 1053200000 is about 32453.0430006186. The cubic root of 1053200000 is about 1017.4278393005.

Adding to 1053200000 its reverse (23501), we get a palindrome (1053223501).

The spelling of 1053200000 in words is "one billion, fifty-three million, two hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 2633 3125 3200 4000 5000 5266 6250 8000 10000 10532 12500 13165 16000 20000 21064 25000 26330 40000 42128 50000 52660 65825 80000 84256 100000 105320 131650 168512 200000 210640 263300 329125 337024 400000 421280 526600 658250 842560 1053200 1316500 1645625 1685120 2106400 2633000 3291250 4212800 5266000 6582500 8228125 8425600 10532000 13165000 16456250 21064000 26330000 32912500 42128000 52660000 65825000 105320000 131650000 210640000 263300000 526600000 1053200000