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102674660 = 225114111383
BaseRepresentation
bin1100001111010…
…11000011100100
321011012102011012
412013223003210
5202241042120
614104401352
72354502014
oct607530344
9234172135
10102674660
1152a58aa0
122a476258
131836c04a
14d8c9c44
1590321c5
hex61eb0e4

102674660 has 48 divisors (see below), whose sum is σ = 240976512. Its totient is φ = 36422400.

The previous prime is 102674659. The next prime is 102674683. The reversal of 102674660 is 66476201.

It is a super-2 number, since 2×1026746602 = 21084171612231200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

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 15 ways as a sum of consecutive naturals, for example, 3329 + ... + 14711.

It is an arithmetic number, because the mean of its divisors is an integer number (5020344).

Almost surely, 2102674660 is an apocalyptic number.

102674660 is a gapful number since it is divisible by the number (10) 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 102674660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120488256).

102674660 is an abundant number, since it is smaller than the sum of its proper divisors (138301852).

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

102674660 is a wasteful number, since it uses less digits than its factorization.

102674660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11444 (or 11442 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 102674660 is about 10132.8505367443. The cubic root of 102674660 is about 468.2607515195.

The spelling of 102674660 in words is "one hundred two million, six hundred seventy-four thousand, six hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 41 44 55 82 110 164 205 220 410 451 820 902 1804 2255 4510 9020 11383 22766 45532 56915 113830 125213 227660 250426 466703 500852 626065 933406 1252130 1866812 2333515 2504260 4667030 5133733 9334060 10267466 20534932 25668665 51337330 102674660