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157474240 = 2657211283
BaseRepresentation
bin10010110001011…
…01110111000000
3101222022112001021
421120231313000
5310303133430
623343115224
73621336400
oct1130556700
9358275037
10157474240
1180987800
12448a2b14
1326817c31
1416cb2800
15dc5907a
hex962ddc0

157474240 has 252 divisors, whose sum is σ = 485244648. Its totient is φ = 48491520.

The previous prime is 157474217. The next prime is 157474241. The reversal of 157474240 is 42474751.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 157474196 and 157474205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157474241) 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 35 ways as a sum of consecutive naturals, for example, 1897239 + ... + 1897321.

It is an arithmetic number, because the mean of its divisors is an integer number (1925574).

Almost surely, 2157474240 is an apocalyptic number.

157474240 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 157474240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242622324).

157474240 is an abundant number, since it is smaller than the sum of its proper divisors (327770408).

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

157474240 is a wasteful number, since it uses less digits than its factorization.

157474240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 34.

The square root of 157474240 is about 12548.8740530774. The cubic root of 157474240 is about 540.0117052790.

The spelling of 157474240 in words is "one hundred fifty-seven million, four hundred seventy-four thousand, two hundred forty".