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156641940 = 2232571373131
BaseRepresentation
bin10010101011000…
…10101010010100
3101220202020100100
421111202222110
5310100020230
623313214100
73611302020
oct1125425224
9356666310
10156641940
1180469454
1244561330
13265b6150
1416b37380
15db42660
hex9562a94

156641940 has 288 divisors, whose sum is σ = 597332736. Its totient is φ = 32348160.

The previous prime is 156641917. The next prime is 156641941. The reversal of 156641940 is 49146651.

156641940 is a `hidden beast` number, since 1 + 5 + 6 + 641 + 9 + 4 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 156641895 and 156641904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (156641941) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1195675 + ... + 1195805.

It is an arithmetic number, because the mean of its divisors is an integer number (2074072).

Almost surely, 2156641940 is an apocalyptic number.

156641940 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 156641940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298666368).

156641940 is an abundant number, since it is smaller than the sum of its proper divisors (440690796).

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

156641940 is a wasteful number, since it uses less digits than its factorization.

156641940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 156641940 is about 12515.6677808258. The cubic root of 156641940 is about 539.0586480128.

The spelling of 156641940 in words is "one hundred fifty-six million, six hundred forty-one thousand, nine hundred forty".