Search a number
-
+
12945408 = 21137243
BaseRepresentation
bin110001011000…
…100000000000
3220100200202120
4301120200000
511303223113
61141244240
7215014500
oct61304000
926320676
1012945408
117342093
124403680
1328b3408
141a0da00
15120aa23
hexc58800

12945408 has 144 divisors (see below), whose sum is σ = 41081040. Its totient is φ = 3612672.

The previous prime is 12945391. The next prime is 12945419. The reversal of 12945408 is 80454921.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 301035 + ... + 301077.

It is an arithmetic number, because the mean of its divisors is an integer number (285285).

Almost surely, 212945408 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 12945408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20540520).

12945408 is an abundant number, since it is smaller than the sum of its proper divisors (28135632).

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

12945408 is an equidigital number, since it uses as much as digits as its factorization.

12945408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 12945408 is about 3597.9727625428. The cubic root of 12945408 is about 234.8038683439.

The spelling of 12945408 in words is "twelve million, nine hundred forty-five thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 43 48 49 56 64 84 86 96 98 112 128 129 147 168 172 192 196 224 256 258 294 301 336 344 384 392 448 512 516 588 602 672 688 768 784 896 903 1024 1032 1176 1204 1344 1376 1536 1568 1792 1806 2048 2064 2107 2352 2408 2688 2752 3072 3136 3584 3612 4128 4214 4704 4816 5376 5504 6144 6272 6321 7168 7224 8256 8428 9408 9632 10752 11008 12544 12642 14336 14448 16512 16856 18816 19264 21504 22016 25088 25284 28896 33024 33712 37632 38528 43008 44032 50176 50568 57792 66048 67424 75264 77056 88064 100352 101136 115584 132096 134848 150528 154112 202272 231168 264192 269696 301056 308224 404544 462336 539392 616448 809088 924672 1078784 1618176 1849344 2157568 3236352 4315136 6472704 12945408