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13057520 = 245723331
BaseRepresentation
bin110001110011…
…110111110000
3220120101112212
4301303313300
511320320040
61143511252
7215662400
oct61636760
926511485
1013057520
117409343
124458528
132922458
141a3c800
15122dd65
hexc73df0

13057520 has 60 divisors (see below), whose sum is σ = 35325864. Its totient is φ = 4475520.

The previous prime is 13057519. The next prime is 13057523. The reversal of 13057520 is 2575031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13057523) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2255 + ... + 5585.

Almost surely, 213057520 is an apocalyptic number.

13057520 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 13057520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17662932).

13057520 is an abundant number, since it is smaller than the sum of its proper divisors (22268344).

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

13057520 is a wasteful number, since it uses less digits than its factorization.

13057520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3358 (or 3345 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 23.

The square root of 13057520 is about 3613.5190604174. The cubic root of 13057520 is about 235.4797502734.

The spelling of 13057520 in words is "thirteen million, fifty-seven thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 392 490 560 784 980 1960 3331 3920 6662 13324 16655 23317 26648 33310 46634 53296 66620 93268 116585 133240 163219 186536 233170 266480 326438 373072 466340 652876 816095 932680 1305752 1632190 1865360 2611504 3264380 6528760 13057520