Search a number
-
+
13842264 = 233673857
BaseRepresentation
bin110100110011…
…011101011000
3222001021000110
4310303131120
512020423024
61212404320
7225441312
oct64633530
928037013
1013842264
1178a4997
1247766a0
132b386b7
141ba47b2
151336629
hexd33758

13842264 has 32 divisors (see below), whose sum is σ = 34697520. Its totient is φ = 4601856.

The previous prime is 13842239. The next prime is 13842281. The reversal of 13842264 is 46224831.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15724 + ... + 16580.

Almost surely, 213842264 is an apocalyptic number.

It is an amenable number.

13842264 is an abundant number, since it is smaller than the sum of its proper divisors (20855256).

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

13842264 is a wasteful number, since it uses less digits than its factorization.

13842264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1539 (or 1535 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 13842264 is about 3720.5193185898. The cubic root of 13842264 is about 240.1056479314.

The spelling of 13842264 in words is "thirteen million, eight hundred forty-two thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 673 857 1346 1714 2019 2571 2692 3428 4038 5142 5384 6856 8076 10284 16152 20568 576761 1153522 1730283 2307044 3460566 4614088 6921132 13842264