Base | Representation |
---|---|
bin | 110010010011… |
… | …101110010100 |
3 | 220211000112000 |
4 | 302103232110 |
5 | 11334003423 |
6 | 1150355300 |
7 | 220044642 |
oct | 62235624 |
9 | 26730460 |
10 | 13187988 |
11 | 7498370 |
12 | 44bbb30 |
13 | 2969958 |
14 | 1a74192 |
15 | 1257843 |
hex | c93b94 |
13187988 has 96 divisors (see below), whose sum is σ = 39553920. Its totient is φ = 3755520.
The previous prime is 13187987. The next prime is 13188001. The reversal of 13187988 is 88978131.
13187988 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 congruent number.
It is not an unprimeable number, because it can be changed into a prime (13187981) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19870 + ... + 20522.
It is an arithmetic number, because the mean of its divisors is an integer number (412020).
Almost surely, 213187988 is an apocalyptic number.
13187988 is a gapful number since it is divisible by the number (18) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 13187988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19776960).
13187988 is an abundant number, since it is smaller than the sum of its proper divisors (26365932).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13187988 is a wasteful number, since it uses less digits than its factorization.
13187988 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 694 (or 686 counting only the distinct ones).
The product of its digits is 96768, while the sum is 45.
The square root of 13187988 is about 3631.5269515729. The cubic root of 13187988 is about 236.2614406150.
The spelling of 13187988 in words is "thirteen million, one hundred eighty-seven thousand, nine hundred eighty-eight".
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