Search a number
-
+
13935520 = 255251347
BaseRepresentation
bin110101001010…
…001110100000
3222012222221101
4311022032200
512031414040
61214404144
7226310224
oct65121640
928188841
1013935520
117958a65
124800654
132b6bc91
141bca784
15135409a
hexd4a3a0

13935520 has 48 divisors (see below), whose sum is σ = 33149088. Its totient is φ = 5536000.

The previous prime is 13935517. The next prime is 13935533. The reversal of 13935520 is 2553931.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39987 + ... + 40333.

It is an arithmetic number, because the mean of its divisors is an integer number (690606).

Almost surely, 213935520 is an apocalyptic number.

13935520 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 13935520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16574544).

13935520 is an abundant number, since it is smaller than the sum of its proper divisors (19213568).

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

13935520 is a wasteful number, since it uses less digits than its factorization.

13935520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 28.

The square root of 13935520 is about 3733.0309401343. The cubic root of 13935520 is about 240.6436426777.

The spelling of 13935520 in words is "thirteen million, nine hundred thirty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 251 347 502 694 1004 1255 1388 1735 2008 2510 2776 3470 4016 5020 5552 6940 8032 10040 11104 13880 20080 27760 40160 55520 87097 174194 348388 435485 696776 870970 1393552 1741940 2787104 3483880 6967760 13935520