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102683904 = 2831931227
BaseRepresentation
bin1100001111011…
…01010100000000
321011012212211120
412013231110000
5202241341104
614104512240
72354540661
oct607552400
9234185746
10102683904
1152a64a34
122a47b680
131837330b
14d8cd368
159034cd9
hex61ed500

102683904 has 144 divisors (see below), whose sum is σ = 298260480. Its totient is φ = 31242240.

The previous prime is 102683899. The next prime is 102683939. The reversal of 102683904 is 409386201.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 452239 + ... + 452465.

Almost surely, 2102683904 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 102683904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149130240).

102683904 is an abundant number, since it is smaller than the sum of its proper divisors (195576576).

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

102683904 is a wasteful number, since it uses less digits than its factorization.

102683904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 102683904 is about 10133.3066666316. The cubic root of 102683904 is about 468.2748039075.

The spelling of 102683904 in words is "one hundred two million, six hundred eighty-three thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 16 19 24 31 32 38 48 57 62 64 76 93 96 114 124 128 152 186 192 227 228 248 256 304 372 384 454 456 496 589 608 681 744 768 908 912 992 1178 1216 1362 1488 1767 1816 1824 1984 2356 2432 2724 2976 3534 3632 3648 3968 4313 4712 4864 5448 5952 7037 7068 7264 7296 7936 8626 9424 10896 11904 12939 14074 14136 14528 14592 17252 18848 21111 21792 23808 25878 28148 28272 29056 34504 37696 42222 43584 51756 56296 56544 58112 69008 75392 84444 87168 103512 112592 113088 133703 138016 150784 168888 174336 207024 225184 226176 267406 276032 337776 401109 414048 450368 452352 534812 552064 675552 802218 828096 900736 1069624 1104128 1351104 1604436 1656192 1801472 2139248 2702208 3208872 3312384 4278496 5404416 6417744 8556992 12835488 17113984 25670976 34227968 51341952 102683904