Search a number
-
+
159130656 = 253429273
BaseRepresentation
bin10010111110000…
…10010000100000
3102002102200020000
421133002100200
5311214140111
623442420000
73641405526
oct1137022040
9362380200
10159130656
1181909243
1245361600
1326c77b69
14171c4316
15de84c56
hex97c2420

159130656 has 180 divisors, whose sum is σ = 491332842. Its totient is φ = 50512896.

The previous prime is 159130649. The next prime is 159130661. The reversal of 159130656 is 656031951.

159130656 is a `hidden beast` number, since 1 + 591 + 3 + 0 + 65 + 6 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 141991056 + 17139600 = 11916^2 + 4140^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 159130656.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2179836 + ... + 2179908.

Almost surely, 2159130656 is an apocalyptic number.

159130656 is a gapful number since it is divisible by the number (16) 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 159130656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245666421).

159130656 is an abundant number, since it is smaller than the sum of its proper divisors (332202186).

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

159130656 is an equidigital number, since it uses as much as digits as its factorization.

159130656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 159130656 is about 12614.6999964327. The cubic root of 159130656 is about 541.8985027102.

The spelling of 159130656 in words is "one hundred fifty-nine million, one hundred thirty thousand, six hundred fifty-six".