Search a number
-
+
13357806 = 2371129997
BaseRepresentation
bin110010111101…
…001011101110
3221010122110120
4302331023232
511404422211
61154145410
7221353020
oct62751356
927118416
1013357806
1175a3a10
124582266
1329c9037
141aba010
15128cd06
hexcbd2ee

13357806 has 64 divisors (see below), whose sum is σ = 34490880. Its totient is φ = 3346560.

The previous prime is 13357793. The next prime is 13357837. The reversal of 13357806 is 60875331.

It is a happy number.

It is a super-2 number, since 2×133578062 = 356861962267272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12900 + ... + 13896.

It is an arithmetic number, because the mean of its divisors is an integer number (538920).

Almost surely, 213357806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13357806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17245440).

13357806 is an abundant number, since it is smaller than the sum of its proper divisors (21133074).

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

13357806 is a wasteful number, since it uses less digits than its factorization.

13357806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1049.

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 13357806 is about 3654.8332383298. The cubic root of 13357806 is about 237.2712094024.

The spelling of 13357806 in words is "thirteen million, three hundred fifty-seven thousand, eight hundred six".

Divisors: 1 2 3 6 7 11 14 21 22 29 33 42 58 66 77 87 154 174 203 231 319 406 462 609 638 957 997 1218 1914 1994 2233 2991 4466 5982 6699 6979 10967 13398 13958 20937 21934 28913 32901 41874 57826 65802 76769 86739 153538 173478 202391 230307 318043 404782 460614 607173 636086 954129 1214346 1908258 2226301 4452602 6678903 13357806