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13905918 = 235133171
BaseRepresentation
bin110101000010…
…111111111110
3222011111100000
4311002333332
512024442133
61214015130
7226125015
oct65027776
928144300
1013905918
1179387a4
1247a74a6
132b5b670
141bbda7c
15134a413
hexd42ffe

13905918 has 96 divisors (see below), whose sum is σ = 35223552. Its totient is φ = 4082400.

The previous prime is 13905907. The next prime is 13905919. The reversal of 13905918 is 81950931.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13905919) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 195823 + ... + 195893.

It is an arithmetic number, because the mean of its divisors is an integer number (366912).

Almost surely, 213905918 is an apocalyptic number.

13905918 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13905918, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17611776).

13905918 is an abundant number, since it is smaller than the sum of its proper divisors (21317634).

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

13905918 is a wasteful number, since it uses less digits than its factorization.

13905918 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The square root of 13905918 is about 3729.0639576172. The cubic root of 13905918 is about 240.4731291737.

The spelling of 13905918 in words is "thirteen million, nine hundred five thousand, nine hundred eighteen".

Divisors: 1 2 3 6 9 13 18 26 27 31 39 54 62 71 78 81 93 117 142 162 186 213 234 243 279 351 403 426 486 558 639 702 806 837 923 1053 1209 1278 1674 1846 1917 2106 2201 2418 2511 2769 3159 3627 3834 4402 5022 5538 5751 6318 6603 7254 7533 8307 10881 11502 13206 15066 16614 17253 19809 21762 24921 28613 32643 34506 39618 49842 57226 59427 65286 74763 85839 97929 118854 149526 171678 178281 195858 224289 257517 356562 448578 515034 534843 772551 1069686 1545102 2317653 4635306 6952959 13905918