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102664704 = 29389751
BaseRepresentation
bin1100001111010…
…00101000000000
321011011220111110
412013220220000
5202240232304
614104243320
72354431002
oct607505000
9234156443
10102664704
1152a5156a
122a470540
131836765c
14d8c6372
15902e289
hex61e8a00

102664704 has 80 divisors (see below), whose sum is σ = 276946560. Its totient is φ = 33792000.

The previous prime is 102664699. The next prime is 102664711. The reversal of 102664704 is 407466201.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 136329 + ... + 137079.

It is an arithmetic number, because the mean of its divisors is an integer number (3461832).

Almost surely, 2102664704 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 102664704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138473280).

102664704 is an abundant number, since it is smaller than the sum of its proper divisors (174281856).

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

102664704 is an frugal number, since it uses more digits than its factorization.

102664704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 102664704 is about 10132.3592514281. The cubic root of 102664704 is about 468.2456158319.

The spelling of 102664704 in words is "one hundred two million, six hundred sixty-four thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 89 96 128 178 192 256 267 356 384 512 534 712 751 768 1068 1424 1502 1536 2136 2253 2848 3004 4272 4506 5696 6008 8544 9012 11392 12016 17088 18024 22784 24032 34176 36048 45568 48064 66839 68352 72096 96128 133678 136704 144192 192256 200517 267356 288384 384512 401034 534712 576768 802068 1069424 1153536 1604136 2138848 3208272 4277696 6416544 8555392 12833088 17110784 25666176 34221568 51332352 102664704