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157163940 = 22325873133
BaseRepresentation
bin10010101111000…
…10000110100100
3101221201202101200
421113202012210
5310213221230
623332322500
73615604623
oct1127420644
9357652350
10157163940
118079565a
1244773430
132673991b
1416c316ba
15dbe7160
hex95e21a4

157163940 has 36 divisors (see below), whose sum is σ = 476731164. Its totient is φ = 41910336.

The previous prime is 157163927. The next prime is 157163957. The reversal of 157163940 is 49361751.

157163940 is a `hidden beast` number, since 15 + 7 + 1 + 639 + 4 + 0 = 666.

157163940 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 18301284 + 138862656 = 4278^2 + 11784^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 = 157163895 and 157163904.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 436387 + ... + 436746.

Almost surely, 2157163940 is an apocalyptic number.

157163940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

157163940 is an abundant number, since it is smaller than the sum of its proper divisors (319567224).

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

157163940 is a wasteful number, since it uses less digits than its factorization.

157163940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 873148 (or 873143 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 157163940 is about 12536.5042974507. The cubic root of 157163940 is about 539.6567777801.

The spelling of 157163940 in words is "one hundred fifty-seven million, one hundred sixty-three thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 873133 1746266 2619399 3492532 4365665 5238798 7858197 8731330 10477596 13096995 15716394 17462660 26193990 31432788 39290985 52387980 78581970 157163940