| Base | Representation |
|---|---|
| bin | 11110001001111… |
| … | …00111000000000 |
| 3 | 122121222111121200 |
| 4 | 33010330320000 |
| 5 | 1004224044120 |
| 6 | 41033421200 |
| 7 | 6161043342 |
| oct | 1704747000 |
| 9 | 577874550 |
| 10 | 252956160 |
| 11 | 11a872786 |
| 12 | 7086a800 |
| 13 | 40539102 |
| 14 | 25849292 |
| 15 | 17319e90 |
| hex | f13ce00 |
252956160 has 120 divisors (see below), whose sum is σ = 876138120. Its totient is φ = 67448832.
The previous prime is 252956159. The next prime is 252956167. The reversal of 252956160 is 61659252.
It is a tau number, because it is divible by the number of its divisors (120).
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (252956167) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17551 + ... + 28529.
It is an arithmetic number, because the mean of its divisors is an integer number (7301151).
Almost surely, 2252956160 is an apocalyptic number.
252956160 is a gapful number since it is divisible by the number (20) 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 252956160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438069060).
252956160 is an abundant number, since it is smaller than the sum of its proper divisors (623181960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
252956160 is a wasteful number, since it uses less digits than its factorization.
252956160 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 11008 (or 10989 counting only the distinct ones).
The product of its (nonzero) digits is 32400, while the sum is 36.
The square root of 252956160 is about 15904.5955622895. The cubic root of 252956160 is about 632.4338206105.
It can be divided in two parts, 252956 and 160, that added together give a triangular number (253116 = T711).
The spelling of 252956160 in words is "two hundred fifty-two million, nine hundred fifty-six thousand, one hundred sixty".
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