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159734064 = 243719131191
BaseRepresentation
bin10011000010101…
…01100100110000
3102010120022221110
421201111210300
5311342442224
623503353320
73646500660
oct1141254460
9363508843
10159734064
1182190626
12455b2840
13271296c9
14173001a0
15e053929
hex9855930

159734064 has 160 divisors (see below), whose sum is σ = 502824960. Its totient is φ = 42681600.

The previous prime is 159734053. The next prime is 159734087. The reversal of 159734064 is 460437951.

159734064 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 836209 + ... + 836399.

It is an arithmetic number, because the mean of its divisors is an integer number (3142656).

Almost surely, 2159734064 is an apocalyptic number.

159734064 is a gapful number since it is divisible by the number (14) 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 159734064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251412480).

159734064 is an abundant number, since it is smaller than the sum of its proper divisors (343090896).

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

159734064 is a wasteful number, since it uses less digits than its factorization.

159734064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 159734064 is about 12638.5942256249. The cubic root of 159734064 is about 542.5825809572.

The spelling of 159734064 in words is "one hundred fifty-nine million, seven hundred thirty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 112 114 131 133 152 168 191 228 262 266 304 336 382 393 399 456 524 532 573 764 786 798 912 917 1048 1064 1146 1337 1528 1572 1596 1834 2096 2128 2292 2489 2674 2751 3056 3144 3192 3629 3668 4011 4584 4978 5348 5502 6288 6384 7258 7336 7467 8022 9168 9956 10696 10887 11004 14516 14672 14934 16044 17423 19912 21392 21774 22008 25021 25403 29032 29868 32088 34846 39824 43548 44016 50042 50806 52269 58064 59736 64176 69692 75063 76209 87096 100084 101612 104538 119472 139384 150126 152418 174192 175147 200168 203224 209076 278768 300252 304836 350294 400336 406448 418152 475399 525441 600504 609672 700588 836304 950798 1050882 1201008 1219344 1401176 1426197 1901596 2101764 2802352 2852394 3327793 3803192 4203528 5704788 6655586 7606384 8407056 9983379 11409576 13311172 19966758 22819152 26622344 39933516 53244688 79867032 159734064