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13040136 = 233373827
BaseRepresentation
bin110001101111…
…101000001000
3220112111201000
4301233220020
511314241021
61143255000
7215560614
oct61575010
926474630
1013040136
1173a727a
12444a460
132917575
141a36344
151228b26
hexc6fa08

13040136 has 64 divisors (see below), whose sum is σ = 36763200. Its totient is φ = 4281984.

The previous prime is 13040123. The next prime is 13040141. The reversal of 13040136 is 63104031.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 15355 + ... + 16181.

It is an arithmetic number, because the mean of its divisors is an integer number (574425).

Almost surely, 213040136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13040136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18381600).

13040136 is an abundant number, since it is smaller than the sum of its proper divisors (23723064).

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

13040136 is a wasteful number, since it uses less digits than its factorization.

13040136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 13040136 is about 3611.1128478628. The cubic root of 13040136 is about 235.3752026520.

Adding to 13040136 its reverse (63104031), we get a palindrome (76144167).

The spelling of 13040136 in words is "thirteen million, forty thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 73 108 146 216 219 292 438 584 657 827 876 1314 1654 1752 1971 2481 2628 3308 3942 4962 5256 6616 7443 7884 9924 14886 15768 19848 22329 29772 44658 59544 60371 89316 120742 178632 181113 241484 362226 482968 543339 724452 1086678 1448904 1630017 2173356 3260034 4346712 6520068 13040136