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13141188 = 22322359269
BaseRepresentation
bin110010001000…
…010011000100
3220201122022200
4302020103010
511331004223
61145354500
7216461334
oct62102304
926648280
1013141188
117466195
124498a30
132951568
141a610c4
151248a43
hexc884c4

13141188 has 72 divisors (see below), whose sum is σ = 35380800. Its totient is φ = 4103616.

The previous prime is 13141159. The next prime is 13141189. The reversal of 13141188 is 88114131.

It is not an unprimeable number, because it can be changed into a prime (13141189) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48718 + ... + 48986.

It is an arithmetic number, because the mean of its divisors is an integer number (491400).

Almost surely, 213141188 is an apocalyptic number.

13141188 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13141188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17690400).

13141188 is an abundant number, since it is smaller than the sum of its proper divisors (22239612).

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

13141188 is a wasteful number, since it uses less digits than its factorization.

13141188 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 356 counting only the distinct ones).

The product of its digits is 768, while the sum is 27.

The square root of 13141188 is about 3625.0776543407. The cubic root of 13141188 is about 235.9816369893.

The spelling of 13141188 in words is "thirteen million, one hundred forty-one thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 59 69 92 118 138 177 207 236 269 276 354 414 531 538 708 807 828 1062 1076 1357 1614 2124 2421 2714 3228 4071 4842 5428 6187 8142 9684 12213 12374 15871 16284 18561 24426 24748 31742 37122 47613 48852 55683 63484 74244 95226 111366 142839 190452 222732 285678 365033 571356 730066 1095099 1460132 2190198 3285297 4380396 6570594 13141188