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13905920 = 2125797
BaseRepresentation
bin110101000011…
…000000000000
3222011111100002
4311003000000
512024442140
61214015132
7226125020
oct65030000
928144302
1013905920
1179387a6
1247a74a8
132b5b672
141bbda80
15134a415
hexd43000

13905920 has 104 divisors (see below), whose sum is σ = 38530464. Its totient is φ = 4718592.

The previous prime is 13905919. The next prime is 13905943. The reversal of 13905920 is 2950931.

It is a super-2 number, since 2×139059202 = 386749222092800, which contains 22 as substring.

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 143312 + ... + 143408.

Almost surely, 213905920 is an apocalyptic number.

13905920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13905920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19265232).

13905920 is an abundant number, since it is smaller than the sum of its proper divisors (24624544).

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

13905920 is an frugal number, since it uses more digits than its factorization.

13905920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 29.

The square root of 13905920 is about 3729.0642257810. The cubic root of 13905920 is about 240.4731407023.

The spelling of 13905920 in words is "thirteen million, nine hundred five thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 97 112 128 140 160 194 224 256 280 320 388 448 485 512 560 640 679 776 896 970 1024 1120 1280 1358 1552 1792 1940 2048 2240 2560 2716 3104 3395 3584 3880 4096 4480 5120 5432 6208 6790 7168 7760 8960 10240 10864 12416 13580 14336 15520 17920 20480 21728 24832 27160 28672 31040 35840 43456 49664 54320 62080 71680 86912 99328 108640 124160 143360 173824 198656 217280 248320 347648 397312 434560 496640 695296 869120 993280 1390592 1738240 1986560 2781184 3476480 6952960 13905920