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12851328 = 27372683
BaseRepresentation
bin110001000001…
…100010000000
3220011220201010
4301001202000
511242220303
61135240520
7214143300
oct61014200
926156633
1012851328
117288436
124379140
13287c649
1419c7600
1511dcc03
hexc41880

12851328 has 96 divisors (see below), whose sum is σ = 39767760. Its totient is φ = 3666432.

The previous prime is 12851323. The next prime is 12851339. The reversal of 12851328 is 82315821.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 12851295 and 12851304.

It is not an unprimeable number, because it can be changed into a prime (12851323) 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, 18475 + ... + 19157.

Almost surely, 212851328 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 12851328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19883880).

12851328 is an abundant number, since it is smaller than the sum of its proper divisors (26916432).

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

12851328 is an equidigital number, since it uses as much as digits as its factorization.

12851328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714 (or 695 counting only the distinct ones).

The product of its digits is 3840, while the sum is 30.

The square root of 12851328 is about 3584.8748932145. The cubic root of 12851328 is about 234.2336770069.

The spelling of 12851328 in words is "twelve million, eight hundred fifty-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 294 336 384 392 448 588 672 683 784 896 1176 1344 1366 1568 2049 2352 2688 2732 3136 4098 4704 4781 5464 6272 8196 9408 9562 10928 14343 16392 18816 19124 21856 28686 32784 33467 38248 43712 57372 65568 66934 76496 87424 100401 114744 131136 133868 152992 200802 229488 262272 267736 305984 401604 458976 535472 611968 803208 917952 1070944 1606416 1835904 2141888 3212832 4283776 6425664 12851328