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13957920 = 25355359
BaseRepresentation
bin110101001111…
…101100100000
3222021010200000
4311033230200
512033123140
61215100000
7226432434
oct65175440
928233600
1013957920
117973879
124811600
132b79232
141bd49c4
15135aa30
hexd4fb20

13957920 has 144 divisors (see below), whose sum is σ = 49533120. Its totient is φ = 3711744.

The previous prime is 13957877. The next prime is 13957949. The reversal of 13957920 is 2975931.

13957920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38701 + ... + 39059.

It is an arithmetic number, because the mean of its divisors is an integer number (343980).

Almost surely, 213957920 is an apocalyptic number.

13957920 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 13957920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24766560).

13957920 is an abundant number, since it is smaller than the sum of its proper divisors (35575200).

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

13957920 is an equidigital number, since it uses as much as digits as its factorization.

13957920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 13957920 is about 3736.0299784664. The cubic root of 13957920 is about 240.7725107783.

The spelling of 13957920 in words is "thirteen million, nine hundred fifty-seven thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 144 160 162 180 216 240 243 270 288 324 359 360 405 432 480 486 540 648 718 720 810 864 972 1077 1080 1215 1296 1436 1440 1620 1795 1944 2154 2160 2430 2592 2872 3231 3240 3590 3888 4308 4320 4860 5385 5744 6462 6480 7180 7776 8616 9693 9720 10770 11488 12924 12960 14360 16155 17232 19386 19440 21540 25848 28720 29079 32310 34464 38772 38880 43080 48465 51696 57440 58158 64620 77544 86160 87237 96930 103392 116316 129240 145395 155088 172320 174474 193860 232632 258480 290790 310176 348948 387720 436185 465264 516960 581580 697896 775440 872370 930528 1163160 1395792 1550880 1744740 2326320 2791584 3489480 4652640 6978960 13957920