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159964896 = 25371318311
BaseRepresentation
bin10011000100011…
…01111011100000
3102011000001120210
421202031323200
5311422334041
623512334120
73651451650
oct1142157340
9364001523
10159964896
1182328aa3
12456a4340
13271aa7b0
1417360360
15e09c016
hex988dee0

159964896 has 96 divisors (see below), whose sum is σ = 516837888. Its totient is φ = 42186240.

The previous prime is 159964877. The next prime is 159964913. The reversal of 159964896 is 698469951.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 420 + ... + 17891.

It is an arithmetic number, because the mean of its divisors is an integer number (5383728).

Almost surely, 2159964896 is an apocalyptic number.

159964896 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 159964896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258418944).

159964896 is an abundant number, since it is smaller than the sum of its proper divisors (356872992).

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

159964896 is a wasteful number, since it uses less digits than its factorization.

159964896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18344 (or 18336 counting only the distinct ones).

The product of its digits is 4199040, while the sum is 57.

The square root of 159964896 is about 12647.7229571176. The cubic root of 159964896 is about 542.8438175334.

The spelling of 159964896 in words is "one hundred fifty-nine million, nine hundred sixty-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 78 84 91 96 104 112 156 168 182 208 224 273 312 336 364 416 546 624 672 728 1092 1248 1456 2184 2912 4368 8736 18311 36622 54933 73244 109866 128177 146488 219732 238043 256354 292976 384531 439464 476086 512708 585952 714129 769062 878928 952172 1025416 1428258 1538124 1666301 1757856 1904344 2050832 2856516 3076248 3332602 3808688 4101664 4998903 5713032 6152496 6665204 7617376 9997806 11426064 12304992 13330408 19995612 22852128 26660816 39991224 53321632 79982448 159964896