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13907916 = 22331123509
BaseRepresentation
bin110101000011…
…011111001100
3222011121002000
4311003133030
512030023131
61214032300
7226133601
oct65033714
928147060
1013907916
11793a250
1247a8690
132b5c549
141bc06a8
15134ace6
hexd437cc

13907916 has 96 divisors (see below), whose sum is σ = 41126400. Its totient is φ = 4023360.

The previous prime is 13907903. The next prime is 13907951. The reversal of 13907916 is 61970931.

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

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 27070 + ... + 27578.

It is an arithmetic number, because the mean of its divisors is an integer number (428400).

Almost surely, 213907916 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 13907916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20563200).

13907916 is an abundant number, since it is smaller than the sum of its proper divisors (27218484).

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

13907916 is a wasteful number, since it uses less digits than its factorization.

13907916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 36.

The square root of 13907916 is about 3729.3318436417. The cubic root of 13907916 is about 240.4846456686.

The spelling of 13907916 in words is "thirteen million, nine hundred seven thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 27 33 36 44 46 54 66 69 92 99 108 132 138 198 207 253 276 297 396 414 506 509 594 621 759 828 1012 1018 1188 1242 1518 1527 2036 2277 2484 3036 3054 4554 4581 5599 6108 6831 9108 9162 11198 11707 13662 13743 16797 18324 22396 23414 27324 27486 33594 35121 46828 50391 54972 67188 70242 100782 105363 128777 140484 151173 201564 210726 257554 302346 316089 386331 421452 515108 604692 632178 772662 1158993 1264356 1545324 2317986 3476979 4635972 6953958 13907916