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13140792 = 233472897
BaseRepresentation
bin110010001000…
…001100111000
3220201121210000
4302020030320
511331001132
61145353000
7216460230
oct62101470
926647700
1013140792
117465965
124498760
132951322
141a60cc0
15124887c
hexc88338

13140792 has 80 divisors (see below), whose sum is σ = 42078960. Its totient is φ = 3753216.

The previous prime is 13140773. The next prime is 13140821. The reversal of 13140792 is 29704131.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3088 + ... + 5984.

It is an arithmetic number, because the mean of its divisors is an integer number (525987).

Almost surely, 213140792 is an apocalyptic number.

13140792 is a gapful number since it is divisible by the number (12) 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 13140792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21039480).

13140792 is an abundant number, since it is smaller than the sum of its proper divisors (28938168).

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

13140792 is a wasteful number, since it uses less digits than its factorization.

13140792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2922 (or 2909 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 13140792 is about 3625.0230344096. The cubic root of 13140792 is about 235.9792665880.

The spelling of 13140792 in words is "thirteen million, one hundred forty thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 252 324 378 504 567 648 756 1134 1512 2268 2897 4536 5794 8691 11588 17382 20279 23176 26073 34764 40558 52146 60837 69528 78219 81116 104292 121674 156438 162232 182511 208584 234657 243348 312876 365022 469314 486696 547533 625752 730044 938628 1095066 1460088 1642599 1877256 2190132 3285198 4380264 6570396 13140792