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13136600 = 2352193457
BaseRepresentation
bin110010000111…
…001011011000
3220201102000202
4302013023120
511330332400
61145321332
7216442061
oct62071330
926642022
1013136600
1174627a4
124496248
13294c449
141a5d568
1512474d5
hexc872d8

13136600 has 48 divisors (see below), whose sum is σ = 32159400. Its totient is φ = 4976640.

The previous prime is 13136567. The next prime is 13136603. The reversal of 13136600 is 663131.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13136603) 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, 2072 + ... + 5528.

Almost surely, 213136600 is an apocalyptic number.

13136600 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 13136600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16079700).

13136600 is an abundant number, since it is smaller than the sum of its proper divisors (19022800).

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

13136600 is a wasteful number, since it uses less digits than its factorization.

13136600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3492 (or 3483 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

The square root of 13136600 is about 3624.4447850671. Note that the first 3 decimals coincide. The cubic root of 13136600 is about 235.9541709344.

Adding to 13136600 its reverse (663131), we get a palindrome (13799731).

The spelling of 13136600 in words is "thirteen million, one hundred thirty-six thousand, six hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 380 475 760 950 1900 3457 3800 6914 13828 17285 27656 34570 65683 69140 86425 131366 138280 172850 262732 328415 345700 525464 656830 691400 1313660 1642075 2627320 3284150 6568300 13136600