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12503664 = 2432312801
BaseRepresentation
bin101111101100…
…101001110000
3212112020210200
4233230221300
511200104124
61123555200
7211164555
oct57545160
925466720
1012503664
117070208
12422bb00
13278a324
141936a2c
15116ebc9
hexbeca70

12503664 has 60 divisors (see below), whose sum is σ = 36134592. Its totient is φ = 4032000.

The previous prime is 12503663. The next prime is 12503671. The reversal of 12503664 is 46630521.

It is a super-2 number, since 2×125036642 = 312683226849792, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12503663) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 3064 + ... + 5864.

Almost surely, 212503664 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 12503664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18067296).

12503664 is an abundant number, since it is smaller than the sum of its proper divisors (23630928).

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

12503664 is a wasteful number, since it uses less digits than its factorization.

12503664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2846 (or 2837 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 12503664 is about 3536.0520358162. The cubic root of 12503664 is about 232.1021151741.

The spelling of 12503664 in words is "twelve million, five hundred three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 744 1116 1488 2232 2801 4464 5602 8403 11204 16806 22408 25209 33612 44816 50418 67224 86831 100836 134448 173662 201672 260493 347324 403344 520986 694648 781479 1041972 1389296 1562958 2083944 3125916 4167888 6251832 12503664