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13951116 = 223531463
BaseRepresentation
bin110101001110…
…000010001100
3222020210100000
4311032002030
512032413431
61215004300
7226403544
oct65160214
928223300
1013951116
117969753
124809690
132b760ca
141bd2324
1513589e6
hexd4e08c

13951116 has 72 divisors (see below), whose sum is σ = 37832704. Its totient is φ = 4490640.

The previous prime is 13951097. The next prime is 13951139. The reversal of 13951116 is 61115931.

13951116 is a `hidden beast` number, since 139 + 511 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 13951116.

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, 29901 + ... + 30363.

Almost surely, 213951116 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 13951116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18916352).

13951116 is an abundant number, since it is smaller than the sum of its proper divisors (23881588).

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

13951116 is a wasteful number, since it uses less digits than its factorization.

13951116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 499 counting only the distinct ones).

The product of its digits is 810, while the sum is 27.

The square root of 13951116 is about 3735.1192752039. The cubic root of 13951116 is about 240.7333816811.

The spelling of 13951116 in words is "thirteen million, nine hundred fifty-one thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 81 93 108 124 162 186 243 279 324 372 463 486 558 837 926 972 1116 1389 1674 1852 2511 2778 3348 4167 5022 5556 7533 8334 10044 12501 14353 15066 16668 25002 28706 30132 37503 43059 50004 57412 75006 86118 112509 129177 150012 172236 225018 258354 387531 450036 516708 775062 1162593 1550124 2325186 3487779 4650372 6975558 13951116