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13937440 = 255117919
BaseRepresentation
bin110101001010…
…101100100000
3222020002120111
4311022230200
512031444230
61214421104
7226315636
oct65125440
928202514
1013937440
11795a450
124801794
132b6cb0a
141bcb356
15135492a
hexd4ab20

13937440 has 48 divisors (see below), whose sum is σ = 35925120. Its totient is φ = 5067520.

The previous prime is 13937437. The next prime is 13937449. The reversal of 13937440 is 4473931.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13937449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2200 + ... + 5719.

It is an arithmetic number, because the mean of its divisors is an integer number (748440).

Almost surely, 213937440 is an apocalyptic number.

13937440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13937440 is an abundant number, since it is smaller than the sum of its proper divisors (21987680).

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

13937440 is a wasteful number, since it uses less digits than its factorization.

13937440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7945 (or 7937 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 31.

The square root of 13937440 is about 3733.2880949640. The cubic root of 13937440 is about 240.6546939236.

The spelling of 13937440 in words is "thirteen million, nine hundred thirty-seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 7919 15838 31676 39595 63352 79190 87109 126704 158380 174218 253408 316760 348436 435545 633520 696872 871090 1267040 1393744 1742180 2787488 3484360 6968720 13937440