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12699648 = 211321353
BaseRepresentation
bin110000011100…
…100000000000
3212220012122100
4300130200000
511222342043
61132110400
7212642133
oct60344000
925805570
1012699648
117194485
124305400
1328285b0
14198821a
1511accd3
hexc1c800

12699648 has 144 divisors (see below), whose sum is σ = 40245660. Its totient is φ = 3833856.

The previous prime is 12699641. The next prime is 12699667. The reversal of 12699648 is 84699621.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 12616704 + 82944 = 3552^2 + 288^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×126996482 = 322562118647808, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (12699641) 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, 239590 + ... + 239642.

Almost surely, 212699648 is an apocalyptic number.

12699648 is a gapful number since it is divisible by the number (18) 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 12699648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20122830).

12699648 is an abundant number, since it is smaller than the sum of its proper divisors (27546012).

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

12699648 is a wasteful number, since it uses less digits than its factorization.

12699648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 71 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 12699648 is about 3563.6565491080. The cubic root of 12699648 is about 233.3084998514.

The spelling of 12699648 in words is "twelve million, six hundred ninety-nine thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 53 64 72 78 96 104 106 117 128 144 156 159 192 208 212 234 256 288 312 318 384 416 424 468 477 512 576 624 636 689 768 832 848 936 954 1024 1152 1248 1272 1378 1536 1664 1696 1872 1908 2048 2067 2304 2496 2544 2756 3072 3328 3392 3744 3816 4134 4608 4992 5088 5512 6144 6201 6656 6784 7488 7632 8268 9216 9984 10176 11024 12402 13312 13568 14976 15264 16536 18432 19968 20352 22048 24804 26624 27136 29952 30528 33072 39936 40704 44096 49608 54272 59904 61056 66144 79872 81408 88192 99216 108544 119808 122112 132288 162816 176384 198432 239616 244224 264576 325632 352768 396864 488448 529152 705536 793728 976896 1058304 1411072 1587456 2116608 3174912 4233216 6349824 12699648