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12664320 = 29351797
BaseRepresentation
bin110000010011…
…111000000000
3212211102011220
4300103320000
511220224240
61131235040
7212434134
oct60237000
925742156
1012664320
11716a989
1242a8a80
1328154a6
1419793c4
1511a25d0
hexc13e00

12664320 has 160 divisors (see below), whose sum is σ = 43309728. Its totient is φ = 3145728.

The previous prime is 12664319. The next prime is 12664343. The reversal of 12664320 is 2346621.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130512 + ... + 130608.

Almost surely, 212664320 is an apocalyptic number.

12664320 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 12664320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21654864).

12664320 is an abundant number, since it is smaller than the sum of its proper divisors (30645408).

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

12664320 is an equidigital number, since it uses as much as digits as its factorization.

12664320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 12664320 is about 3558.6963905340. The cubic root of 12664320 is about 233.0919590105.

It can be divided in two parts, 126 and 64320, that added together give a palindrome (64446).

The spelling of 12664320 in words is "twelve million, six hundred sixty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 97 102 120 128 136 160 170 192 194 204 240 255 256 272 291 320 340 384 388 408 480 485 510 512 544 582 640 680 768 776 816 960 970 1020 1088 1164 1280 1360 1455 1536 1552 1632 1649 1920 1940 2040 2176 2328 2560 2720 2910 3104 3264 3298 3840 3880 4080 4352 4656 4947 5440 5820 6208 6528 6596 7680 7760 8160 8245 8704 9312 9894 10880 11640 12416 13056 13192 15520 16320 16490 18624 19788 21760 23280 24735 24832 26112 26384 31040 32640 32980 37248 39576 43520 46560 49470 49664 52768 62080 65280 65960 74496 79152 93120 98940 105536 124160 130560 131920 148992 158304 186240 197880 211072 248320 263840 316608 372480 395760 422144 527680 633216 744960 791520 844288 1055360 1266432 1583040 2110720 2532864 3166080 4221440 6332160 12664320