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13862820 = 22351713591
BaseRepresentation
bin110100111000…
…011110100100
3222002022012210
4310320132210
512022102240
61213043420
7225555246
oct64703644
928068183
1013862820
117909384
124786570
132b44b6a
141bac096
15133c780
hexd387a4

13862820 has 48 divisors (see below), whose sum is σ = 41102208. Its totient is φ = 3479040.

The previous prime is 13862819. The next prime is 13862831. The reversal of 13862820 is 2826831.

13862820 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 Harshad number since it is a multiple of its sum of digits (30).

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, 5776 + ... + 7815.

It is an arithmetic number, because the mean of its divisors is an integer number (856296).

Almost surely, 213862820 is an apocalyptic number.

13862820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13862820 is an abundant number, since it is smaller than the sum of its proper divisors (27239388).

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

13862820 is a wasteful number, since it uses less digits than its factorization.

13862820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13620 (or 13618 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 13862820 is about 3723.2808113276. The cubic root of 13862820 is about 240.2244428183.

The spelling of 13862820 in words is "thirteen million, eight hundred sixty-two thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 13591 27182 40773 54364 67955 81546 135910 163092 203865 231047 271820 407730 462094 693141 815460 924188 1155235 1386282 2310470 2772564 3465705 4620940 6931410 13862820