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13134792 = 2331124523
BaseRepresentation
bin110010000110…
…101111001000
3220201022112210
4302012233020
511330303132
61145305120
7216433566
oct62065710
926638483
1013134792
117461400
1244951a0
13294b688
141a5ca36
151246bcc
hexc86bc8

13134792 has 48 divisors (see below), whose sum is σ = 36101520. Its totient is φ = 3979360.

The previous prime is 13134769. The next prime is 13134799. The reversal of 13134792 is 29743131.

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (13134799) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 643 + ... + 5165.

It is an arithmetic number, because the mean of its divisors is an integer number (752115).

Almost surely, 213134792 is an apocalyptic number.

13134792 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 13134792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18050760).

13134792 is an abundant number, since it is smaller than the sum of its proper divisors (22966728).

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

13134792 is a wasteful number, since it uses less digits than its factorization.

13134792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4554 (or 4539 counting only the distinct ones).

The product of its digits is 4536, while the sum is 30.

The square root of 13134792 is about 3624.1953589728. The cubic root of 13134792 is about 235.9433455885.

It can be divided in two parts, 1313 and 4792, that added together give a triangular number (6105 = T110).

The spelling of 13134792 in words is "thirteen million, one hundred thirty-four thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 132 242 264 363 484 726 968 1452 2904 4523 9046 13569 18092 27138 36184 49753 54276 99506 108552 149259 199012 298518 398024 547283 597036 1094566 1194072 1641849 2189132 3283698 4378264 6567396 13134792