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102660264 = 23337431579
BaseRepresentation
bin1100001111001…
…11100010101000
321011011200102000
412013213202220
5202240112024
614104211000
72354412030
oct607474250
9234150360
10102660264
1152a491a3
122a469a60
1318365625
14d8c48c0
15902ccc9
hex61e78a8

102660264 has 128 divisors (see below), whose sum is σ = 333696000. Its totient is φ = 28631232.

The previous prime is 102660223. The next prime is 102660289. The reversal of 102660264 is 462066201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64227 + ... + 65805.

It is an arithmetic number, because the mean of its divisors is an integer number (2607000).

Almost surely, 2102660264 is an apocalyptic number.

102660264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102660264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166848000).

102660264 is an abundant number, since it is smaller than the sum of its proper divisors (231035736).

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

102660264 is a wasteful number, since it uses less digits than its factorization.

102660264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1644 (or 1634 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 102660264 is about 10132.1401490504. The cubic root of 102660264 is about 468.2388655713.

The spelling of 102660264 in words is "one hundred two million, six hundred sixty thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 43 54 56 63 72 84 86 108 126 129 168 172 189 216 252 258 301 344 378 387 504 516 602 756 774 903 1032 1161 1204 1512 1548 1579 1806 2322 2408 2709 3096 3158 3612 4644 4737 5418 6316 7224 8127 9288 9474 10836 11053 12632 14211 16254 18948 21672 22106 28422 32508 33159 37896 42633 44212 56844 65016 66318 67897 85266 88424 99477 113688 132636 135794 170532 198954 203691 265272 271588 298431 341064 397908 407382 475279 543176 596862 611073 795816 814764 950558 1193724 1222146 1425837 1629528 1833219 1901116 2387448 2444292 2851674 3666438 3802232 4277511 4888584 5703348 7332876 8555022 11406696 12832533 14665752 17110044 25665066 34220088 51330132 102660264