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14109876 = 22341137107
BaseRepresentation
bin110101110100…
…110010110100
3222112212010000
4311310302310
512103004001
61222231300
7230634444
oct65646264
928485100
1014109876
117a67a60
124885530
132c00451
141c34124
15138aa86
hexd74cb4

14109876 has 120 divisors (see below), whose sum is σ = 41713056. Its totient is φ = 4121280.

The previous prime is 14109871. The next prime is 14109877. The reversal of 14109876 is 67890141.

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 self number, because there is not a number n which added to its sum of digits gives 14109876.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14109871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 131815 + ... + 131921.

Almost surely, 214109876 is an apocalyptic number.

14109876 is the 2376-th heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14109876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20856528).

14109876 is an abundant number, since it is smaller than the sum of its proper divisors (27603180).

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

14109876 is a wasteful number, since it uses less digits than its factorization.

14109876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 14109876 is about 3756.3114886814. The cubic root of 14109876 is about 241.6431002518.

The spelling of 14109876 in words is "fourteen million, one hundred nine thousand, eight hundred seventy-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 37 44 54 66 74 81 99 107 108 111 132 148 162 198 214 222 297 321 324 333 396 407 428 444 594 642 666 814 891 963 999 1177 1188 1221 1284 1332 1628 1782 1926 1998 2354 2442 2889 2997 3531 3564 3663 3852 3959 3996 4708 4884 5778 5994 7062 7326 7918 8667 10593 10989 11556 11877 11988 14124 14652 15836 17334 21186 21978 23754 31779 32967 34668 35631 42372 43549 43956 47508 63558 65934 71262 87098 95337 106893 127116 130647 131868 142524 174196 190674 213786 261294 320679 381348 391941 427572 522588 641358 783882 1175823 1282716 1567764 2351646 3527469 4703292 7054938 14109876