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152272320 = 2635158617
BaseRepresentation
bin10010001001101…
…11110111000000
3101121112020100120
421010313313000
5302440203240
623035420240
73526202424
oct1104676700
9347466316
10152272320
1178a544a2
1242bb4680
1325716285
141631ab84
15d57cad0
hex9137dc0

152272320 has 56 divisors (see below), whose sum is σ = 483467664. Its totient is φ = 40605696.

The previous prime is 152272313. The next prime is 152272343. The reversal of 152272320 is 23272251.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 78349 + ... + 80268.

Almost surely, 2152272320 is an apocalyptic number.

152272320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152272320 is an abundant number, since it is smaller than the sum of its proper divisors (331195344).

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

152272320 is a wasteful number, since it uses less digits than its factorization.

152272320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158637 (or 158627 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 152272320 is about 12339.8670981498. The cubic root of 152272320 is about 533.9988497499.

The spelling of 152272320 in words is "one hundred fifty-two million, two hundred seventy-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 158617 317234 475851 634468 793085 951702 1268936 1586170 1903404 2379255 2537872 3172340 3806808 4758510 5075744 6344680 7613616 9517020 10151488 12689360 15227232 19034040 25378720 30454464 38068080 50757440 76136160 152272320