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13859920 = 245173249
BaseRepresentation
bin110100110111…
…110001010000
3222002011020101
4310313301100
512022004140
61213022144
7225543634
oct64676120
928064211
1013859920
117907188
124784954
132b43749
141baadc4
15133b99a
hexd37c50

13859920 has 20 divisors (see below), whose sum is σ = 32224500. Its totient is φ = 5543936.

The previous prime is 13859917. The next prime is 13859929. The reversal of 13859920 is 2995831.

13859920 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 2 ways, for example, as 10188864 + 3671056 = 3192^2 + 1916^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a self number, because there is not a number n which added to its sum of digits gives 13859920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13859929) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 86545 + ... + 86704.

It is an arithmetic number, because the mean of its divisors is an integer number (1611225).

Almost surely, 213859920 is an apocalyptic number.

13859920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13859920 is an abundant number, since it is smaller than the sum of its proper divisors (18364580).

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

13859920 is a wasteful number, since it uses less digits than its factorization.

13859920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173262 (or 173256 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 37.

The square root of 13859920 is about 3722.8913494756. The cubic root of 13859920 is about 240.2076905878.

The spelling of 13859920 in words is "thirteen million, eight hundred fifty-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 173249 346498 692996 866245 1385992 1732490 2771984 3464980 6929960 13859920