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12955904 = 281317229
BaseRepresentation
bin110001011011…
…000100000000
3220101020011022
4301123010000
511304042104
61141405012
7215060213
oct61330400
926336138
1012955904
117349a65
124409768
1328b8120
141a1377a
15120dbbe
hexc5b100

12955904 has 72 divisors (see below), whose sum is σ = 29617560. Its totient is φ = 5603328.

The previous prime is 12955889. The next prime is 12955913. The reversal of 12955904 is 40955921.

It can be written as a sum of positive squares in 4 ways, for example, as 4194304 + 8761600 = 2048^2 + 2960^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56462 + ... + 56690.

It is an arithmetic number, because the mean of its divisors is an integer number (411355).

Almost surely, 212955904 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 12955904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14808780).

12955904 is an abundant number, since it is smaller than the sum of its proper divisors (16661656).

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

12955904 is a wasteful number, since it uses less digits than its factorization.

12955904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 35.

The square root of 12955904 is about 3599.4310661548. The cubic root of 12955904 is about 234.8673100327.

The spelling of 12955904 in words is "twelve million, nine hundred fifty-five thousand, nine hundred four".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 128 136 208 221 229 256 272 416 442 458 544 832 884 916 1088 1664 1768 1832 2176 2977 3328 3536 3664 3893 4352 5954 7072 7328 7786 11908 14144 14656 15572 23816 28288 29312 31144 47632 50609 56576 58624 62288 95264 101218 124576 190528 202436 249152 381056 404872 498304 762112 809744 996608 1619488 3238976 6477952 12955904