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12501664 = 25731767
BaseRepresentation
bin101111101100…
…001010100000
3212112011001121
4233230022200
511200023124
61123542024
7211156000
oct57541240
925464047
1012501664
11706975a
12422a914
132789446
141936000
15116e2e4
hexbec2a0

12501664 has 96 divisors (see below), whose sum is σ = 30844800. Its totient is φ = 4967424.

The previous prime is 12501659. The next prime is 12501683. The reversal of 12501664 is 46610521.

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, 186559 + ... + 186625.

It is an arithmetic number, because the mean of its divisors is an integer number (321300).

Almost surely, 212501664 is an apocalyptic number.

12501664 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 12501664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15422400).

12501664 is an abundant number, since it is smaller than the sum of its proper divisors (18343136).

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

12501664 is an equidigital number, since it uses as much as digits as its factorization.

12501664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 12501664 is about 3535.7692232384. The cubic root of 12501664 is about 232.0897393621.

The spelling of 12501664 in words is "twelve million, five hundred one thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 49 56 67 68 98 112 119 134 136 196 224 238 268 272 343 392 469 476 536 544 686 784 833 938 952 1072 1139 1372 1568 1666 1876 1904 2144 2278 2744 3283 3332 3752 3808 4556 5488 5831 6566 6664 7504 7973 9112 10976 11662 13132 13328 15008 15946 18224 22981 23324 26264 26656 31892 36448 45962 46648 52528 55811 63784 91924 93296 105056 111622 127568 183848 186592 223244 255136 367696 390677 446488 735392 781354 892976 1562708 1785952 3125416 6250832 12501664