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13820370 = 2353371367
BaseRepresentation
bin110100101110…
…000111010010
3222000010222120
4310232013102
512014222440
61212115110
7225320424
oct64560722
928003876
1013820370
11788a4a3
124765a96
132b2b745
141b9a814
15132edd0
hexd2e1d2

13820370 has 32 divisors (see below), whose sum is σ = 33291648. Its totient is φ = 3671808.

The previous prime is 13820299. The next prime is 13820381. The reversal of 13820370 is 7302831.

13820370 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 13820370.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9427 + ... + 10793.

It is an arithmetic number, because the mean of its divisors is an integer number (1040364).

Almost surely, 213820370 is an apocalyptic number.

13820370 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13820370 is an abundant number, since it is smaller than the sum of its proper divisors (19471278).

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

13820370 is a wasteful number, since it uses less digits than its factorization.

13820370 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1714.

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 13820370 is about 3717.5758230331. The cubic root of 13820370 is about 239.9789912166.

The spelling of 13820370 in words is "thirteen million, eight hundred twenty thousand, three hundred seventy".

Divisors: 1 2 3 5 6 10 15 30 337 674 1011 1367 1685 2022 2734 3370 4101 5055 6835 8202 10110 13670 20505 41010 460679 921358 1382037 2303395 2764074 4606790 6910185 13820370