Search a number
-
+
152043520 = 220529
BaseRepresentation
bin10010001000000…
…00000000000000
3101121002121111111
421010000000000
5302410343040
623030453104
73524230366
oct1104000000
9347077444
10152043520
1178908602
1242b04194
13256660a5
141629b636
15d534dea
hex9100000

152043520 has 84 divisors (see below), whose sum is σ = 377487180. Its totient is φ = 58720256.

The previous prime is 152043503. The next prime is 152043533. The reversal of 152043520 is 25340251.

It can be written as a sum of positive squares in 2 ways, for example, as 67108864 + 84934656 = 8192^2 + 9216^2 .

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 152043491 and 152043500.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5242866 + ... + 5242894.

It is an arithmetic number, because the mean of its divisors is an integer number (4493895).

Almost surely, 2152043520 is an apocalyptic number.

152043520 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 152043520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188743590).

152043520 is an abundant number, since it is smaller than the sum of its proper divisors (225443660).

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

152043520 is an frugal number, since it uses more digits than its factorization.

152043520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 152043520 is about 12330.5928486833. The cubic root of 152043520 is about 533.7312585858.

Adding to 152043520 its reverse (25340251), we get a palindrome (177383771).

The spelling of 152043520 in words is "one hundred fifty-two million, forty-three thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 128 145 160 232 256 290 320 464 512 580 640 928 1024 1160 1280 1856 2048 2320 2560 3712 4096 4640 5120 7424 8192 9280 10240 14848 16384 18560 20480 29696 32768 37120 40960 59392 65536 74240 81920 118784 131072 148480 163840 237568 262144 296960 327680 475136 524288 593920 655360 950272 1048576 1187840 1310720 1900544 2375680 2621440 3801088 4751360 5242880 7602176 9502720 15204352 19005440 30408704 38010880 76021760 152043520