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12965652 = 22327232237
BaseRepresentation
bin110001011101…
…011100010100
3220101201112100
4301131130110
511304400102
61141522100
7215130510
oct61353424
926351470
1012965652
117356317
124413330
1328bc6ab
141a17140
151211a1c
hexc5d714

12965652 has 72 divisors (see below), whose sum is σ = 39102336. Its totient is φ = 3541824.

The previous prime is 12965633. The next prime is 12965671. The reversal of 12965652 is 25656921.

12965652 is a `hidden beast` number, since 1 + 2 + 96 + 565 + 2 = 666.

12965652 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12965633) and next prime (12965671).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4678 + ... + 6914.

It is an arithmetic number, because the mean of its divisors is an integer number (543088).

Almost surely, 212965652 is an apocalyptic number.

12965652 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12965652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19551168).

12965652 is an abundant number, since it is smaller than the sum of its proper divisors (26136684).

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

12965652 is a wasteful number, since it uses less digits than its factorization.

12965652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2277 (or 2272 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 12965652 is about 3600.7849144319. The cubic root of 12965652 is about 234.9261998530.

The spelling of 12965652 in words is "twelve million, nine hundred sixty-five thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 63 69 84 92 126 138 161 207 252 276 322 414 483 644 828 966 1449 1932 2237 2898 4474 5796 6711 8948 13422 15659 20133 26844 31318 40266 46977 51451 62636 80532 93954 102902 140931 154353 187908 205804 281862 308706 360157 463059 563724 617412 720314 926118 1080471 1440628 1852236 2160942 3241413 4321884 6482826 12965652