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13626396 = 22327232351
BaseRepresentation
bin110011111110…
…110000011100
3221122021220100
4303332300130
511442021041
61204021100
7223552050
oct63766034
927567810
1013626396
117767793
124691790
132a91374
141b49c60
1512e26b6
hexcfec1c

13626396 has 72 divisors (see below), whose sum is σ = 41094144. Its totient is φ = 3722400.

The previous prime is 13626257. The next prime is 13626407. The reversal of 13626396 is 69362631.

13626396 is a `hidden beast` number, since 13 + 6 + 2 + 639 + 6 = 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 a self number, because there is not a number n which added to its sum of digits gives 13626396.

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, 4621 + ... + 6971.

It is an arithmetic number, because the mean of its divisors is an integer number (570752).

Almost surely, 213626396 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 13626396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20547072).

13626396 is an abundant number, since it is smaller than the sum of its proper divisors (27467748).

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

13626396 is a wasteful number, since it uses less digits than its factorization.

13626396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2391 (or 2386 counting only the distinct ones).

The product of its digits is 34992, while the sum is 36.

The square root of 13626396 is about 3691.3948583158. The cubic root of 13626396 is about 238.8509659490.

The spelling of 13626396 in words is "thirteen million, six hundred twenty-six thousand, three hundred ninety-six".

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 2351 2898 4702 5796 7053 9404 14106 16457 21159 28212 32914 42318 49371 54073 65828 84636 98742 108146 148113 162219 197484 216292 296226 324438 378511 486657 592452 648876 757022 973314 1135533 1514044 1946628 2271066 3406599 4542132 6813198 13626396