Search a number
-
+
13382364 = 22371113139
BaseRepresentation
bin110011000011…
…001011011100
3221011220011010
4303003023130
511411213424
61154455220
7221514432
oct63031334
927156133
1013382364
117610406
124594510
132a07278
141ac4d52
151295229
hexcc32dc

13382364 has 48 divisors (see below), whose sum is σ = 32175360. Its totient is φ = 4327680.

The previous prime is 13382353. The next prime is 13382377. The reversal of 13382364 is 46328331.

13382364 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96207 + ... + 96345.

It is an arithmetic number, because the mean of its divisors is an integer number (670320).

Almost surely, 213382364 is an apocalyptic number.

It is an amenable number.

13382364 is an abundant number, since it is smaller than the sum of its proper divisors (18792996).

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

13382364 is a wasteful number, since it uses less digits than its factorization.

13382364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 328 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

The square root of 13382364 is about 3658.1913563946. The cubic root of 13382364 is about 237.4165261590.

The spelling of 13382364 in words is "thirteen million, three hundred eighty-two thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 12 71 113 139 142 213 226 278 284 339 417 426 452 556 678 834 852 1356 1668 8023 9869 15707 16046 19738 24069 29607 31414 32092 39476 47121 48138 59214 62828 94242 96276 118428 188484 1115197 2230394 3345591 4460788 6691182 13382364