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159128640 = 26325115023
BaseRepresentation
bin10010111110000…
…01110001000000
3102002102120110100
421133001301000
5311214104030
623442402400
73641366616
oct1137016100
9362376410
10159128640
1181907780
1245360400
1326c76c78
14171c36b6
15de84360
hex97c1c40

159128640 has 168 divisors, whose sum is σ = 597212928. Its totient is φ = 38568960.

The previous prime is 159128633. The next prime is 159128657. The reversal of 159128640 is 46821951.

159128640 is a `hidden beast` number, since 1 + 5 + 9 + 1 + 2 + 8 + 640 = 666.

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 = 159128595 and 159128604.

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 23 ways as a sum of consecutive naturals, for example, 29169 + ... + 34191.

Almost surely, 2159128640 is an apocalyptic number.

159128640 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 159128640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298606464).

159128640 is an abundant number, since it is smaller than the sum of its proper divisors (438084288).

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

159128640 is a wasteful number, since it uses less digits than its factorization.

159128640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5057 (or 5044 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 159128640 is about 12614.6200894042. The cubic root of 159128640 is about 541.8962142930.

The spelling of 159128640 in words is "one hundred fifty-nine million, one hundred twenty-eight thousand, six hundred forty".