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13132040 = 2351937467
BaseRepresentation
bin110010000110…
…000100001000
3220201011202212
4302012010020
511330211130
61145244252
7216422555
oct62060410
926634685
1013132040
11745a329
124493688
13294a34c
141a5ba2c
151245e95
hexc86108

13132040 has 64 divisors (see below), whose sum is σ = 32011200. Its totient is φ = 4831488.

The previous prime is 13132033. The next prime is 13132051. The reversal of 13132040 is 4023131.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27887 + ... + 28353.

It is an arithmetic number, because the mean of its divisors is an integer number (500175).

Almost surely, 213132040 is an apocalyptic number.

13132040 is a gapful number since it is divisible by the number (10) 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 13132040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16005600).

13132040 is an abundant number, since it is smaller than the sum of its proper divisors (18879160).

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

13132040 is a wasteful number, since it uses less digits than its factorization.

13132040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 13132040 is about 3623.8156686013. The cubic root of 13132040 is about 235.9268661640.

Adding to 13132040 its reverse (4023131), we get a palindrome (17155171).

The spelling of 13132040 in words is "thirteen million, one hundred thirty-two thousand, forty".

Divisors: 1 2 4 5 8 10 19 20 37 38 40 74 76 95 148 152 185 190 296 370 380 467 703 740 760 934 1406 1480 1868 2335 2812 3515 3736 4670 5624 7030 8873 9340 14060 17279 17746 18680 28120 34558 35492 44365 69116 70984 86395 88730 138232 172790 177460 328301 345580 354920 656602 691160 1313204 1641505 2626408 3283010 6566020 13132040