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137836884 = 2231723291013
BaseRepresentation
bin10000011011100…
…11100101010100
3100121100211122210
420031303211110
5240241240014
621402153420
73262410543
oct1015634524
9317324583
10137836884
1170894989
123a1b2870
13227308b3
141444015a
15c17a859
hex8373954

137836884 has 96 divisors (see below), whose sum is σ = 367960320. Its totient is φ = 39897088.

The previous prime is 137836883. The next prime is 137836949. The reversal of 137836884 is 488638731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137836883) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 135562 + ... + 136574.

It is an arithmetic number, because the mean of its divisors is an integer number (3832920).

Almost surely, 2137836884 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137836884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183980160).

137836884 is an abundant number, since it is smaller than the sum of its proper divisors (230123436).

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

137836884 is a wasteful number, since it uses less digits than its factorization.

137836884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1089 (or 1087 counting only the distinct ones).

The product of its digits is 774144, while the sum is 48.

The square root of 137836884 is about 11740.3953936824. The cubic root of 137836884 is about 516.5612395826.

The spelling of 137836884 in words is "one hundred thirty-seven million, eight hundred thirty-six thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 12 17 23 29 34 46 51 58 68 69 87 92 102 116 138 174 204 276 348 391 493 667 782 986 1013 1173 1334 1479 1564 1972 2001 2026 2346 2668 2958 3039 4002 4052 4692 5916 6078 8004 11339 12156 17221 22678 23299 29377 34017 34442 45356 46598 51663 58754 68034 68884 69897 88131 93196 103326 117508 136068 139794 176262 206652 279588 352524 396083 499409 675671 792166 998818 1188249 1351342 1498227 1584332 1997636 2027013 2376498 2702684 2996454 4054026 4752996 5992908 8108052 11486407 22972814 34459221 45945628 68918442 137836884