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152040072 = 2336419883
BaseRepresentation
bin10010000111111…
…11001010001000
3101121002102202210
421003333022020
5302410240242
623030425120
73524214342
oct1103771210
9347072683
10152040072
1178905a58
1242b021a0
1325664652
141629a292
15d533d9c
hex90ff288

152040072 has 32 divisors (see below), whose sum is σ = 380731680. Its totient is φ = 50595840.

The previous prime is 152040029. The next prime is 152040073. The reversal of 152040072 is 270040251.

152040072 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (152040073) 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 7 ways as a sum of consecutive naturals, for example, 10443 + ... + 20325.

It is an arithmetic number, because the mean of its divisors is an integer number (11897865).

Almost surely, 2152040072 is an apocalyptic number.

152040072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

152040072 is an abundant number, since it is smaller than the sum of its proper divisors (228691608).

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

152040072 is a wasteful number, since it uses less digits than its factorization.

152040072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10533 (or 10529 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 152040072 is about 12330.4530330398. The cubic root of 152040072 is about 533.7272239530.

The spelling of 152040072 in words is "one hundred fifty-two million, forty thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 24 641 1282 1923 2564 3846 5128 7692 9883 15384 19766 29649 39532 59298 79064 118596 237192 6335003 12670006 19005009 25340012 38010018 50680024 76020036 152040072