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13436856 = 2332431433
BaseRepresentation
bin110011010000…
…011110111000
3221021122220100
4303100132320
511414434411
61155555400
7222132336
oct63203670
927248810
1013436856
117648344
1245bbb60
132a26004
141adab56
1512a6456
hexcd07b8

13436856 has 48 divisors (see below), whose sum is σ = 36560160. Its totient is φ = 4458240.

The previous prime is 13436833. The next prime is 13436861. The reversal of 13436856 is 65863431.

13436856 = T1 + T2 + ... + T431.

13436856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

13436856 is a nontrivial binomial coefficient, being equal to C(433, 3).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 13436856.

It is a congruent number.

It is an unprimeable number.

It is the 431-st tetrahedral number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30816 + ... + 31248.

It is an arithmetic number, because the mean of its divisors is an integer number (761670).

Almost surely, 213436856 is an apocalyptic number.

It is an amenable number.

13436856 is an abundant number, since it is smaller than the sum of its proper divisors (23123304).

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

13436856 is a wasteful number, since it uses less digits than its factorization.

13436856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876 (or 869 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 13436856 is about 3665.6317327304. The cubic root of 13436856 is about 237.7383372891.

The spelling of 13436856 in words is "thirteen million, four hundred thirty-six thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 431 433 862 866 1293 1299 1724 1732 2586 2598 3448 3464 3879 3897 5172 5196 7758 7794 10344 10392 15516 15588 31032 31176 186623 373246 559869 746492 1119738 1492984 1679607 2239476 3359214 4478952 6718428 13436856