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102688704 = 26321710487
BaseRepresentation
bin1100001111011…
…10011111000000
321011020010102100
412013232133000
5202242014304
614104550400
72354560656
oct607563700
9234203370
10102688704
1152a685a8
122a482400
1318375561
14d8d0dd6
159036439
hex61ee7c0

102688704 has 84 divisors (see below), whose sum is σ = 311682384. Its totient is φ = 32212992.

The previous prime is 102688643. The next prime is 102688717. The reversal of 102688704 is 407886201.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4549 + ... + 15035.

Almost surely, 2102688704 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 102688704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155841192).

102688704 is an abundant number, since it is smaller than the sum of its proper divisors (208993680).

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

102688704 is a wasteful number, since it uses less digits than its factorization.

102688704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10522 (or 10509 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 102688704 is about 10133.5435065924. The cubic root of 102688704 is about 468.2821003579.

The spelling of 102688704 in words is "one hundred two million, six hundred eighty-eight thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 136 144 153 192 204 272 288 306 408 544 576 612 816 1088 1224 1632 2448 3264 4896 9792 10487 20974 31461 41948 62922 83896 94383 125844 167792 178279 188766 251688 335584 356558 377532 503376 534837 671168 713116 755064 1006752 1069674 1426232 1510128 1604511 2013504 2139348 2852464 3020256 3209022 4278696 5704928 6040512 6418044 8557392 11409856 12836088 17114784 25672176 34229568 51344352 102688704