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13456938 = 2311414973
BaseRepresentation
bin110011010101…
…011000101010
3221022200110010
4303111120222
511421110223
61200232350
7222245025
oct63253052
927280403
1013456938
117661440
12460b6b6
132a321b1
141b041bc
1512ac393
hexcd562a

13456938 has 32 divisors (see below), whose sum is σ = 30082752. Its totient is φ = 3977600.

The previous prime is 13456931. The next prime is 13456943. The reversal of 13456938 is 83965431.

13456938 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13456896 and 13456905.

It is not an unprimeable number, because it can be changed into a prime (13456931) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 220 + ... + 5192.

It is an arithmetic number, because the mean of its divisors is an integer number (940086).

Almost surely, 213456938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13456938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15041376).

13456938 is an abundant number, since it is smaller than the sum of its proper divisors (16625814).

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

13456938 is a wasteful number, since it uses less digits than its factorization.

13456938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5030.

The product of its digits is 77760, while the sum is 39.

The square root of 13456938 is about 3668.3699377244. The cubic root of 13456938 is about 237.8567152988.

The spelling of 13456938 in words is "thirteen million, four hundred fifty-six thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 11 22 33 41 66 82 123 246 451 902 1353 2706 4973 9946 14919 29838 54703 109406 164109 203893 328218 407786 611679 1223358 2242823 4485646 6728469 13456938