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12664200 = 2335221107
BaseRepresentation
bin110000010011…
…110110001000
3212211102000110
4300103312020
511220223300
61131234320
7212433603
oct60236610
925742013
1012664200
11716a88a
1242a89a0
132815413
14197933a
1511a2550
hexc13d88

12664200 has 48 divisors (see below), whose sum is σ = 39260880. Its totient is φ = 3376960.

The previous prime is 12664193. The next prime is 12664207. The reversal of 12664200 is 246621.

Added to its reverse (246621) it gives a triangular number (12910821 = T5081).

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12664193) and next prime (12664207).

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (12664207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9954 + ... + 11153.

It is an arithmetic number, because the mean of its divisors is an integer number (817935).

Almost surely, 212664200 is an apocalyptic number.

12664200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12664200 is an abundant number, since it is smaller than the sum of its proper divisors (26596680).

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

12664200 is a wasteful number, since it uses less digits than its factorization.

12664200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21126 (or 21117 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 12664200 is about 3558.6795303876. The cubic root of 12664200 is about 233.0912227919.

Adding to 12664200 its reverse (246621), we get a triangular number (12910821 = T5081).

The spelling of 12664200 in words is "twelve million, six hundred sixty-four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 21107 42214 63321 84428 105535 126642 168856 211070 253284 316605 422140 506568 527675 633210 844280 1055350 1266420 1583025 2110700 2532840 3166050 4221400 6332100 12664200