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13959920 = 2451331433
BaseRepresentation
bin110101010000…
…001011110000
3222021020102002
4311100023300
512033204140
61215113132
7226441322
oct65201360
928236362
1013959920
117975327
1248127a8
132b7a110
141bd5612
15135b415
hexd502f0

13959920 has 80 divisors (see below), whose sum is σ = 36164352. Its totient is φ = 4976640.

The previous prime is 13959887. The next prime is 13959937. The reversal of 13959920 is 2995931.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32024 + ... + 32456.

Almost surely, 213959920 is an apocalyptic number.

13959920 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 13959920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18082176).

13959920 is an abundant number, since it is smaller than the sum of its proper divisors (22204432).

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

13959920 is a wasteful number, since it uses less digits than its factorization.

13959920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 21870, while the sum is 38.

The square root of 13959920 is about 3736.2976326840. The cubic root of 13959920 is about 240.7840101523.

It can be divided in two parts, 1395 and 9920, that multiplied together give a square (13838400 = 37202).

The spelling of 13959920 in words is "thirteen million, nine hundred fifty-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 31 40 52 62 65 80 104 124 130 155 208 248 260 310 403 433 496 520 620 806 866 1040 1240 1612 1732 2015 2165 2480 3224 3464 4030 4330 5629 6448 6928 8060 8660 11258 13423 16120 17320 22516 26846 28145 32240 34640 45032 53692 56290 67115 90064 107384 112580 134230 174499 214768 225160 268460 348998 450320 536920 697996 872495 1073840 1395992 1744990 2791984 3489980 6979960 13959920