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12836096 = 287131929
BaseRepresentation
bin110000111101…
…110100000000
3220011010210222
4300331310000
511241223341
61135042212
7214051010
oct60756400
926133728
1012836096
117277a49
124370368
132875730
1419c1c40
1511d844b
hexc3dd00

12836096 has 144 divisors (see below), whose sum is σ = 34339200. Its totient is φ = 4644864.

The previous prime is 12836069. The next prime is 12836111. The reversal of 12836096 is 69063821.

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, 442610 + ... + 442638.

Almost surely, 212836096 is an apocalyptic number.

12836096 is a gapful number since it is divisible by the number (16) 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 12836096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17169600).

12836096 is an abundant number, since it is smaller than the sum of its proper divisors (21503104).

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

12836096 is a wasteful number, since it uses less digits than its factorization.

12836096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 12836096 is about 3582.7497819412. The cubic root of 12836096 is about 234.1410988212.

The spelling of 12836096 in words is "twelve million, eight hundred thirty-six thousand, ninety-six".

Divisors: 1 2 4 7 8 13 14 16 19 26 28 29 32 38 52 56 58 64 76 91 104 112 116 128 133 152 182 203 208 224 232 247 256 266 304 364 377 406 416 448 464 494 532 551 608 728 754 812 832 896 928 988 1064 1102 1216 1456 1508 1624 1664 1729 1792 1856 1976 2128 2204 2432 2639 2912 3016 3248 3328 3458 3712 3857 3952 4256 4408 4864 5278 5824 6032 6496 6916 7163 7424 7714 7904 8512 8816 10556 11648 12064 12992 13832 14326 15428 15808 17024 17632 21112 23296 24128 25984 27664 28652 30856 31616 34048 35264 42224 48256 50141 51968 55328 57304 61712 63232 70528 84448 96512 100282 110656 114608 123424 141056 168896 200564 221312 229216 246848 337792 401128 442624 458432 493696 675584 802256 916864 987392 1604512 1833728 3209024 6418048 12836096