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13934964 = 22323291741
BaseRepresentation
bin110101001010…
…000101110100
3222012222011210
4311022011310
512031404324
61214401420
7226305501
oct65120564
928188153
1013934964
1179585aa
124800270
132b6b954
141bca4a8
151353d29
hexd4a174

13934964 has 48 divisors (see below), whose sum is σ = 35118720. Its totient is φ = 4287360.

The previous prime is 13934959. The next prime is 13934969. The reversal of 13934964 is 46943931.

It is an interprime number because it is at equal distance from previous prime (13934959) and next prime (13934969).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13934969) by changing a digit.

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, 7134 + ... + 8874.

It is an arithmetic number, because the mean of its divisors is an integer number (731640).

Almost surely, 213934964 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 13934964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17559360).

13934964 is an abundant number, since it is smaller than the sum of its proper divisors (21183756).

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

13934964 is a wasteful number, since it uses less digits than its factorization.

13934964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1800 (or 1798 counting only the distinct ones).

The product of its digits is 69984, while the sum is 39.

The square root of 13934964 is about 3732.9564690738. The cubic root of 13934964 is about 240.6404422315.

The spelling of 13934964 in words is "thirteen million, nine hundred thirty-four thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 12 23 29 46 58 69 87 92 116 138 174 276 348 667 1334 1741 2001 2668 3482 4002 5223 6964 8004 10446 20892 40043 50489 80086 100978 120129 151467 160172 201956 240258 302934 480516 605868 1161247 2322494 3483741 4644988 6967482 13934964