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13187820 = 2235219797
BaseRepresentation
bin110010010011…
…101011101100
3220211000021210
4302103223230
511334002240
61150354420
7220044312
oct62235354
926730253
1013187820
117498228
1244bba10
132969859
141a740b2
151257780
hexc93aec

13187820 has 24 divisors (see below), whose sum is σ = 36926064. Its totient is φ = 3516736.

The previous prime is 13187813. The next prime is 13187833. The reversal of 13187820 is 2878131.

It is a happy number.

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

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 109839 + ... + 109958.

It is an arithmetic number, because the mean of its divisors is an integer number (1538586).

Almost surely, 213187820 is an apocalyptic number.

13187820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13187820 is an abundant number, since it is smaller than the sum of its proper divisors (23738244).

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

13187820 is a wasteful number, since it uses less digits than its factorization.

13187820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219809 (or 219807 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 13187820 is about 3631.5038207332. The cubic root of 13187820 is about 236.2604373766.

The spelling of 13187820 in words is "thirteen million, one hundred eighty-seven thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 219797 439594 659391 879188 1098985 1318782 2197970 2637564 3296955 4395940 6593910 13187820