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14132916 = 22327173299
BaseRepresentation
bin110101111010…
…011010110100
3222121000201100
4311322122310
512104223131
61222530100
7231061560
oct65723264
928530640
1014132916
117a832a6
124896930
132c0aa95
141c3c6a0
1513927e6
hexd7a6b4

14132916 has 72 divisors (see below), whose sum is σ = 43243200. Its totient is φ = 3799296.

The previous prime is 14132897. The next prime is 14132917. The reversal of 14132916 is 61923141.

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 14132916.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14132917) 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, 2635 + ... + 5933.

It is an arithmetic number, because the mean of its divisors is an integer number (600600).

Almost surely, 214132916 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 14132916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21621600).

14132916 is an abundant number, since it is smaller than the sum of its proper divisors (29110284).

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

14132916 is a wasteful number, since it uses less digits than its factorization.

14132916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3333 (or 3328 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 14132916 is about 3759.3770760593. The cubic root of 14132916 is about 241.7745549722.

The spelling of 14132916 in words is "fourteen million, one hundred thirty-two thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 153 204 238 252 306 357 476 612 714 1071 1428 2142 3299 4284 6598 9897 13196 19794 23093 29691 39588 46186 56083 59382 69279 92372 112166 118764 138558 168249 207837 224332 277116 336498 392581 415674 504747 672996 785162 831348 1009494 1177743 1570324 2018988 2355486 3533229 4710972 7066458 14132916