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13935012 = 22372131823
BaseRepresentation
bin110101001010…
…000110100100
3222012222020120
4311022012210
512031410022
61214401540
7226305600
oct65120644
928188216
1013935012
117958643
1248002b0
132b6b990
141bca500
151353d5c
hexd4a1a4

13935012 has 72 divisors (see below), whose sum is σ = 40755456. Its totient is φ = 3673152.

The previous prime is 13935001. The next prime is 13935013. The reversal of 13935012 is 21053931.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (13935013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6733 + ... + 8555.

It is an arithmetic number, because the mean of its divisors is an integer number (566048).

Almost surely, 213935012 is an apocalyptic number.

13935012 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 13935012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20377728).

13935012 is an abundant number, since it is smaller than the sum of its proper divisors (26820444).

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

13935012 is a wasteful number, since it uses less digits than its factorization.

13935012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1857 (or 1848 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 24.

The square root of 13935012 is about 3732.9628982887. The cubic root of 13935012 is about 240.6407185324.

Adding to 13935012 its reverse (21053931), we get a palindrome (34988943).

The spelling of 13935012 in words is "thirteen million, nine hundred thirty-five thousand, twelve".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 84 91 98 147 156 182 196 273 294 364 546 588 637 1092 1274 1823 1911 2548 3646 3822 5469 7292 7644 10938 12761 21876 23699 25522 38283 47398 51044 71097 76566 89327 94796 142194 153132 165893 178654 267981 284388 331786 357308 497679 535962 663572 995358 1071924 1161251 1990716 2322502 3483753 4645004 6967506 13935012