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152072016 = 2433168167
BaseRepresentation
bin10010001000001…
…10111101010000
3101121011001120220
421010012331100
5302412301031
623031233040
73524406435
oct1104067520
9347131526
10152072016
1178927a58
1242b18780
1325676055
14162a7b8c
15d53d596
hex9106f50

152072016 has 20 divisors (see below), whose sum is σ = 392852832. Its totient is φ = 50690656.

The previous prime is 152072009. The next prime is 152072023. The reversal of 152072016 is 610270251.

It is an interprime number because it is at equal distance from previous prime (152072009) and next prime (152072023).

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 (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1584036 + ... + 1584131.

Almost surely, 2152072016 is an apocalyptic number.

152072016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

152072016 is an abundant number, since it is smaller than the sum of its proper divisors (240780816).

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

152072016 is a wasteful number, since it uses less digits than its factorization.

152072016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3168178 (or 3168172 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 152072016 is about 12331.7482945445. The cubic root of 152072016 is about 533.7646004778.

It can be divided in two parts, 1520 and 72016, that added together give a triangular number (73536 = T383).

The spelling of 152072016 in words is "one hundred fifty-two million, seventy-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 3168167 6336334 9504501 12672668 19009002 25345336 38018004 50690672 76036008 152072016