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159164460 = 223357134179
BaseRepresentation
bin10010111110010…
…10100000101100
3102002111101121000
421133022200230
5311221230320
623443240300
73641606220
oct1137124054
9362441530
10159164460
1181931684
1245379090
1326c8a370
14171d2780
15de8ec90
hex97ca82c

159164460 has 384 divisors, whose sum is σ = 632217600. Its totient is φ = 32348160.

The previous prime is 159164449. The next prime is 159164503. The reversal of 159164460 is 64461951.

159164460 is a `hidden beast` number, since 1 + 5 + 9 + 1 + 644 + 6 + 0 = 666.

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

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 2014701 + ... + 2014779.

It is an arithmetic number, because the mean of its divisors is an integer number (1646400).

Almost surely, 2159164460 is an apocalyptic number.

159164460 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 159164460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316108800).

159164460 is an abundant number, since it is smaller than the sum of its proper divisors (473053140).

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

159164460 is a wasteful number, since it uses less digits than its factorization.

159164460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 150 counting only the distinct ones).

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

The square root of 159164460 is about 12616.0397906792. The cubic root of 159164460 is about 541.9368716842.

The spelling of 159164460 in words is "one hundred fifty-nine million, one hundred sixty-four thousand, four hundred sixty".