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13939520 = 26573127
BaseRepresentation
bin110101001011…
…001101000000
3222020012102112
4311023031000
512032031040
61214434452
7226325000
oct65131500
928205375
1013939520
117960a71
124802a28
132b70a4a
141bcc000
151355365
hexd4b340

13939520 has 112 divisors (see below), whose sum is σ = 39014400. Its totient is φ = 4741632.

The previous prime is 13939511. The next prime is 13939529. The reversal of 13939520 is 2593931.

It is an interprime number because it is at equal distance from previous prime (13939511) and next prime (13939529).

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13939529) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109697 + ... + 109823.

Almost surely, 213939520 is an apocalyptic number.

13939520 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 13939520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19507200).

13939520 is an abundant number, since it is smaller than the sum of its proper divisors (25074880).

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

13939520 is an equidigital number, since it uses as much as digits as its factorization.

13939520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 32.

The square root of 13939520 is about 3733.5666593755. The cubic root of 13939520 is about 240.6666649615. Note that the first 5 decimals are identical.

The spelling of 13939520 in words is "thirteen million, nine hundred thirty-nine thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 127 140 160 196 224 245 254 280 320 343 392 448 490 508 560 635 686 784 889 980 1016 1120 1270 1372 1568 1715 1778 1960 2032 2240 2540 2744 3136 3430 3556 3920 4064 4445 5080 5488 6223 6860 7112 7840 8128 8890 10160 10976 12446 13720 14224 15680 17780 20320 21952 24892 27440 28448 31115 35560 40640 43561 49784 54880 56896 62230 71120 87122 99568 109760 124460 142240 174244 199136 217805 248920 284480 348488 398272 435610 497840 696976 871220 995680 1393952 1742440 1991360 2787904 3484880 6969760 13939520