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13953906 = 23217311471
BaseRepresentation
bin110101001110…
…101101110010
3222020221011100
4311032231302
512033011111
61215025230
7226414641
oct65165562
928227140
1013953906
11797085a
12480b216
132b77465
141bd3358
151359756
hexd4eb72

13953906 has 48 divisors (see below), whose sum is σ = 33067008. Its totient is φ = 4233600.

The previous prime is 13953869. The next prime is 13953931. The reversal of 13953906 is 60935931.

It is a super-2 number, since 2×139539062 = 389422985313672, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8751 + ... + 10221.

It is an arithmetic number, because the mean of its divisors is an integer number (688896).

Almost surely, 213953906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13953906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16533504).

13953906 is an abundant number, since it is smaller than the sum of its proper divisors (19113102).

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

13953906 is a wasteful number, since it uses less digits than its factorization.

13953906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1527 (or 1524 counting only the distinct ones).

The product of its (nonzero) digits is 21870, while the sum is 36.

The square root of 13953906 is about 3735.4927385822. The cubic root of 13953906 is about 240.7494282198.

It can be divided in two parts, 139 and 53906, that added together give a palindrome (54045).

The spelling of 13953906 in words is "thirteen million, nine hundred fifty-three thousand, nine hundred six".

Divisors: 1 2 3 6 9 17 18 31 34 51 62 93 102 153 186 279 306 527 558 1054 1471 1581 2942 3162 4413 4743 8826 9486 13239 25007 26478 45601 50014 75021 91202 136803 150042 225063 273606 410409 450126 775217 820818 1550434 2325651 4651302 6976953 13953906