Base | Representation |
---|---|
bin | 1010100110111… |
… | …01101000000000 |
3 | 20012110001210210 |
4 | 11103131220000 |
5 | 140240110120 |
6 | 12455154120 |
7 | 2130246462 |
oct | 523355000 |
9 | 205401723 |
10 | 88988160 |
11 | 46260138 |
12 | 25975940 |
13 | 15589521 |
14 | bb66132 |
15 | 7c2bce0 |
hex | 54dda00 |
88988160 has 80 divisors (see below), whose sum is σ = 284508576. Its totient is φ = 23728128.
The previous prime is 88988147. The next prime is 88988161. The reversal of 88988160 is 6188988.
It is a tau number, because it is divible by the number of its divisors (80).
It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (48).
It is not an unprimeable number, because it can be changed into a prime (88988161) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1887 + ... + 13473.
Almost surely, 288988160 is an apocalyptic number.
88988160 is a gapful number since it is divisible by the number (80) 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 88988160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142254288).
88988160 is an abundant number, since it is smaller than the sum of its proper divisors (195520416).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
88988160 is a wasteful number, since it uses less digits than its factorization.
88988160 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 11613 (or 11597 counting only the distinct ones).
The product of its (nonzero) digits is 221184, while the sum is 48.
The square root of 88988160 is about 9433.3535924400. The cubic root of 88988160 is about 446.4547099606.
The spelling of 88988160 in words is "eighty-eight million, nine hundred eighty-eight thousand, one hundred sixty".
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