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13367820 = 2235317187
BaseRepresentation
bin110010111111…
…101000001100
3221011011012110
4302333220030
511410232240
61154304020
7221424144
oct62775014
927134173
1013367820
117600494
124588010
132a0076b
141abd924
151290c80
hexcbfa0c

13367820 has 48 divisors (see below), whose sum is σ = 38642688. Its totient is φ = 3449280.

The previous prime is 13367813. The next prime is 13367821. The reversal of 13367820 is 2876331.

It is a super-2 number, since 2×133678202 = 357397223104800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13367821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1734 + ... + 5453.

It is an arithmetic number, because the mean of its divisors is an integer number (805056).

Almost surely, 213367820 is an apocalyptic number.

13367820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13367820 is an abundant number, since it is smaller than the sum of its proper divisors (25274868).

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

13367820 is a wasteful number, since it uses less digits than its factorization.

13367820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7230 (or 7228 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 13367820 is about 3656.2029484152. The cubic root of 13367820 is about 237.3304866118.

The spelling of 13367820 in words is "thirteen million, three hundred sixty-seven thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 930 1860 7187 14374 21561 28748 35935 43122 71870 86244 107805 143740 215610 222797 431220 445594 668391 891188 1113985 1336782 2227970 2673564 3341955 4455940 6683910 13367820