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102881064 = 233111331967
BaseRepresentation
bin1100010000111…
…01011100101000
321011120220021210
412020131130220
5202314143224
614113033120
72356321536
oct610353450
9234526253
10102881064
115308a080
122a5557a0
1318411c90
14d941156
159073429
hex621d728

102881064 has 128 divisors (see below), whose sum is σ = 312238080. Its totient is φ = 27820800.

The previous prime is 102881039. The next prime is 102881071. The reversal of 102881064 is 460188201.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105909 + ... + 106875.

It is an arithmetic number, because the mean of its divisors is an integer number (2439360).

Almost surely, 2102881064 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 102881064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156119040).

102881064 is an abundant number, since it is smaller than the sum of its proper divisors (209357016).

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

102881064 is a wasteful number, since it uses less digits than its factorization.

102881064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1031 (or 1027 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 102881064 is about 10143.0303164291. The cubic root of 102881064 is about 468.5743186629.

The spelling of 102881064 in words is "one hundred two million, eight hundred eighty-one thousand, sixty-four".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 31 33 39 44 52 62 66 78 88 93 104 124 132 143 156 186 248 264 286 312 341 372 403 429 572 682 744 806 858 967 1023 1144 1209 1364 1612 1716 1934 2046 2418 2728 2901 3224 3432 3868 4092 4433 4836 5802 7736 8184 8866 9672 10637 11604 12571 13299 17732 21274 23208 25142 26598 29977 31911 35464 37713 42548 50284 53196 59954 63822 75426 85096 89931 100568 106392 119908 127644 138281 150852 179862 239816 255288 276562 301704 329747 359724 389701 414843 553124 659494 719448 779402 829686 989241 1106248 1169103 1318988 1558804 1659372 1978482 2338206 2637976 3117608 3318744 3956964 4286711 4676412 7913928 8573422 9352824 12860133 17146844 25720266 34293688 51440532 102881064