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102076338 = 23713273197
BaseRepresentation
bin1100001010110…
…00111110110010
321010002000102010
412011120332302
5202112420323
614043503350
72346430440
oct605307662
9233060363
10102076338
115268a511
122a227b56
13181bc900
14d7b1b90
158e64c93
hex6158fb2

102076338 has 96 divisors (see below), whose sum is σ = 257406336. Its totient is φ = 26417664.

The previous prime is 102076319. The next prime is 102076391. The reversal of 102076338 is 833670201.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 518056 + ... + 518252.

It is an arithmetic number, because the mean of its divisors is an integer number (2681316).

Almost surely, 2102076338 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102076338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128703168).

102076338 is an abundant number, since it is smaller than the sum of its proper divisors (155329998).

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

102076338 is a wasteful number, since it uses less digits than its factorization.

102076338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 102076338 is about 10103.2835256663. The cubic root of 102076338 is about 467.3494046287.

The spelling of 102076338 in words is "one hundred two million, seventy-six thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 73 78 91 146 169 182 197 219 273 338 394 438 507 511 546 591 949 1014 1022 1182 1183 1379 1533 1898 2366 2561 2758 2847 3066 3549 4137 5122 5694 6643 7098 7683 8274 12337 13286 14381 15366 17927 19929 24674 28762 33293 35854 37011 39858 43143 53781 66586 74022 86286 86359 99879 100667 107562 172718 186953 199758 201334 233051 259077 302001 373906 466102 518154 560859 604002 699153 1121718 1308671 1398306 2430389 2617342 3926013 4860778 7291167 7852026 14582334 17012723 34025446 51038169 102076338