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13920808 = 2311273197
BaseRepresentation
bin110101000110…
…101000101000
3222012020202111
4311012220220
512030431213
61214212104
7226216306
oct65065050
928166674
1013920808
117948a00
1247b4034
132b65385
141bc5276
15134ea3d
hexd46a28

13920808 has 48 divisors (see below), whose sum is σ = 29230740. Its totient is φ = 6209280.

The previous prime is 13920799. The next prime is 13920811. The reversal of 13920808 is 80802931.

It can be written as a sum of positive squares in 2 ways, for example, as 12236004 + 1684804 = 3498^2 + 1298^2 .

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 13920808.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70566 + ... + 70762.

Almost surely, 213920808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13920808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14615370).

13920808 is an abundant number, since it is smaller than the sum of its proper divisors (15309932).

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

13920808 is a wasteful number, since it uses less digits than its factorization.

13920808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 13920808 is about 3731.0599030302. The cubic root of 13920808 is about 240.5589287985.

The spelling of 13920808 in words is "thirteen million, nine hundred twenty thousand, eight hundred eight".

Divisors: 1 2 4 8 11 22 44 73 88 121 146 197 242 292 394 484 584 788 803 968 1576 1606 2167 3212 4334 6424 8668 8833 14381 17336 17666 23837 28762 35332 47674 57524 70664 95348 115048 158191 190696 316382 632764 1265528 1740101 3480202 6960404 13920808