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12639816 = 2332731809
BaseRepresentation
bin110000001101…
…111001001000
3212210011120100
4300031321020
511213433231
61130525400
7212302530
oct60157110
925704510
1012639816
117153532
124296860
1328072a7
1419704c0
15119a1e6
hexc0de48

12639816 has 96 divisors (see below), whose sum is σ = 40435200. Its totient is φ = 3490560.

The previous prime is 12639793. The next prime is 12639817. The reversal of 12639816 is 61893621.

12639816 is a `hidden beast` number, since 1 + 2 + 639 + 8 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (12639817) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15220 + ... + 16028.

It is an arithmetic number, because the mean of its divisors is an integer number (421200).

Almost surely, 212639816 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 12639816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20217600).

12639816 is an abundant number, since it is smaller than the sum of its proper divisors (27795384).

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

12639816 is a wasteful number, since it uses less digits than its factorization.

12639816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859 (or 852 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 12639816 is about 3555.2518898103. The cubic root of 12639816 is about 232.9415265844.

The spelling of 12639816 in words is "twelve million, six hundred thirty-nine thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 31 36 42 56 62 63 72 84 93 124 126 168 186 217 248 252 279 372 434 504 558 651 744 809 868 1116 1302 1618 1736 1953 2232 2427 2604 3236 3906 4854 5208 5663 6472 7281 7812 9708 11326 14562 15624 16989 19416 22652 25079 29124 33978 45304 50158 50967 58248 67956 75237 100316 101934 135912 150474 175553 200632 203868 225711 300948 351106 407736 451422 526659 601896 702212 902844 1053318 1404424 1579977 1805688 2106636 3159954 4213272 6319908 12639816