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13134680 = 2351322967
BaseRepresentation
bin110010000110…
…101101011000
3220201022101122
4302012231120
511330302210
61145304412
7216433346
oct62065530
926638348
1013134680
117461309
124495108
13294b600
141a5c996
151246b55
hexc86b58

13134680 has 96 divisors (see below), whose sum is σ = 33598800. Its totient is φ = 4612608.

The previous prime is 13134661. The next prime is 13134683. The reversal of 13134680 is 8643131.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13134683) 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 23 ways as a sum of consecutive naturals, for example, 196007 + ... + 196073.

Almost surely, 213134680 is an apocalyptic number.

13134680 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 13134680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16799400).

13134680 is an abundant number, since it is smaller than the sum of its proper divisors (20464120).

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

13134680 is a wasteful number, since it uses less digits than its factorization.

13134680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 13134680 is about 3624.1799072342. The cubic root of 13134680 is about 235.9426749592.

The spelling of 13134680 in words is "thirteen million, one hundred thirty-four thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 20 26 29 40 52 58 65 67 104 116 130 134 145 169 232 260 268 290 335 338 377 520 536 580 670 676 754 845 871 1160 1340 1352 1508 1690 1742 1885 1943 2680 3016 3380 3484 3770 3886 4355 4901 6760 6968 7540 7772 8710 9715 9802 11323 15080 15544 17420 19430 19604 22646 24505 25259 34840 38860 39208 45292 49010 50518 56615 77720 90584 98020 101036 113230 126295 196040 202072 226460 252590 328367 452920 505180 656734 1010360 1313468 1641835 2626936 3283670 6567340 13134680