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13925240 = 2357411213
BaseRepresentation
bin110101000111…
…101101111000
3222012110211122
4311013231320
512031101430
61214244412
7226235240
oct65075570
928173748
1013925240
11795126a
1247b6708
132b673b4
141bc6b20
151350ee5
hexd47b78

13925240 has 64 divisors (see below), whose sum is σ = 36711360. Its totient is φ = 4654080.

The previous prime is 13925129. The next prime is 13925243. The reversal of 13925240 is 4252931.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13925243) 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, 10874 + ... + 12086.

It is an arithmetic number, because the mean of its divisors is an integer number (573615).

Almost surely, 213925240 is an apocalyptic number.

13925240 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 13925240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18355680).

13925240 is an abundant number, since it is smaller than the sum of its proper divisors (22786120).

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

13925240 is a wasteful number, since it uses less digits than its factorization.

13925240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1272 (or 1268 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 13925240 is about 3731.6537888716. The cubic root of 13925240 is about 240.5844551915.

The spelling of 13925240 in words is "thirteen million, nine hundred twenty-five thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 41 56 70 82 140 164 205 280 287 328 410 574 820 1148 1213 1435 1640 2296 2426 2870 4852 5740 6065 8491 9704 11480 12130 16982 24260 33964 42455 48520 49733 67928 84910 99466 169820 198932 248665 339640 348131 397864 497330 696262 994660 1392524 1740655 1989320 2785048 3481310 6962620 13925240