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12922672 = 247253311
BaseRepresentation
bin110001010010…
…111100110000
3220022112120111
4301102330300
511302011142
61140551104
7214561300
oct61227460
926275514
1012922672
117326aa4
1243b2494
1328a5c69
141a05600
151203e17
hexc52f30

12922672 has 60 divisors (see below), whose sum is σ = 29770416. Its totient is φ = 5416320.

The previous prime is 12922633. The next prime is 12922681. The reversal of 12922672 is 27622921.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41397 + ... + 41707.

Almost surely, 212922672 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 12922672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14885208).

12922672 is an abundant number, since it is smaller than the sum of its proper divisors (16847744).

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

12922672 is a wasteful number, since it uses less digits than its factorization.

12922672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 373 counting only the distinct ones).

The product of its digits is 6048, while the sum is 31.

The square root of 12922672 is about 3594.8118170497. The cubic root of 12922672 is about 234.6663259006. Note that the first 3 decimals are identical.

It can be divided in two parts, 129 and 22672, that added together give a square (22801 = 1512).

The spelling of 12922672 in words is "twelve million, nine hundred twenty-two thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 49 53 56 98 106 112 196 212 311 371 392 424 622 742 784 848 1244 1484 2177 2488 2597 2968 4354 4976 5194 5936 8708 10388 15239 16483 17416 20776 30478 32966 34832 41552 60956 65932 115381 121912 131864 230762 243824 263728 461524 807667 923048 1615334 1846096 3230668 6461336 12922672