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13804164 = 22321123169
BaseRepresentation
bin110100101010…
…001010000100
3221222022202100
4310222022010
512013213124
61211512100
7225222243
oct64521204
927868670
1013804164
117879300
124758630
132b2425a
141b9495a
15132a1c9
hexd2a284

13804164 has 54 divisors (see below), whose sum is σ = 38366510. Its totient is φ = 4181760.

The previous prime is 13804157. The next prime is 13804181. The reversal of 13804164 is 46140831.

It can be written as a sum of positive squares in only one way, i.e., 13176900 + 627264 = 3630^2 + 792^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2772 + ... + 5940.

Almost surely, 213804164 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 13804164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19183255).

13804164 is an abundant number, since it is smaller than the sum of its proper divisors (24562346).

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

13804164 is a wasteful number, since it uses less digits than its factorization.

13804164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3201 (or 3185 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 13804164 is about 3715.3955374899. The cubic root of 13804164 is about 239.8851533848.

Adding to 13804164 its reverse (46140831), we get a palindrome (59944995).

The spelling of 13804164 in words is "thirteen million, eight hundred four thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 2178 3169 4356 6338 9507 12676 19014 28521 34859 38028 57042 69718 104577 114084 139436 209154 313731 383449 418308 627462 766898 1150347 1254924 1533796 2300694 3451041 4601388 6902082 13804164