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13820720 = 245172759
BaseRepresentation
bin110100101110…
…001100110000
3222000011110112
4310232030300
512014230340
61212120452
7225321434
oct64561460
928004415
1013820720
11788a791
124766128
132b2b954
141b9a9c4
151330065
hexd2e330

13820720 has 20 divisors (see below), whose sum is σ = 32133360. Its totient is φ = 5528256.

The previous prime is 13820713. The next prime is 13820743. The reversal of 13820720 is 2702831.

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

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 86300 + ... + 86459.

It is an arithmetic number, because the mean of its divisors is an integer number (1606668).

Almost surely, 213820720 is an apocalyptic number.

13820720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13820720 is an abundant number, since it is smaller than the sum of its proper divisors (18312640).

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

13820720 is a wasteful number, since it uses less digits than its factorization.

13820720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172772 (or 172766 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 13820720 is about 3717.6228964219. The cubic root of 13820720 is about 239.9810170171.

The spelling of 13820720 in words is "thirteen million, eight hundred twenty thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 172759 345518 691036 863795 1382072 1727590 2764144 3455180 6910360 13820720