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13996900 = 2252139969
BaseRepresentation
bin110101011001…
…001101100100
3222100010010201
4311121031210
512040400100
61220000244
7226654201
oct65311544
928303121
1013996900
1179a0095
124830084
132b90bb8
141c04ca8
15136736a
hexd59364

13996900 has 18 divisors (see below), whose sum is σ = 30373490. Its totient is φ = 5598720.

The previous prime is 13996861. The next prime is 13996907. The reversal of 13996900 is 969931.

13996900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 39204 + 13957696 = 198^2 + 3736^2 .

It is a super-2 number, since 2×139969002 = 391826419220000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13996900.

It is not an unprimeable number, because it can be changed into a prime (13996907) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 69885 + ... + 70084.

Almost surely, 213996900 is an apocalyptic number.

13996900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13996900 is an abundant number, since it is smaller than the sum of its proper divisors (16376590).

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

13996900 is a wasteful number, since it uses less digits than its factorization.

13996900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139983 (or 139976 counting only the distinct ones).

The product of its (nonzero) digits is 13122, while the sum is 37.

The square root of 13996900 is about 3741.2431089145. The cubic root of 13996900 is about 240.9964359591.

The spelling of 13996900 in words is "thirteen million, nine hundred ninety-six thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 139969 279938 559876 699845 1399690 2799380 3499225 6998450 13996900