Base | Representation |
---|---|
bin | 101100011001… |
… | …0101010000000 |
3 | 1121210112220000 |
4 | 1120302222000 |
5 | 21424314120 |
6 | 2150520000 |
7 | 401562345 |
oct | 130625200 |
9 | 47715800 |
10 | 23276160 |
11 | 121587a6 |
12 | 7966000 |
13 | 4a8c69b |
14 | 313c7cc |
15 | 209b990 |
hex | 1632a80 |
23276160 has 160 divisors (see below), whose sum is σ = 83308500. Its totient is φ = 6193152.
The previous prime is 23276153. The next prime is 23276167. The reversal of 23276160 is 6167232.
It is a happy number.
23276160 is a `hidden beast` number, since 23 + 27 + 616 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (23276153) and next prime (23276167).
It can be written as a sum of positive squares in 2 ways, for example, as 23270976 + 5184 = 4824^2 + 72^2 .
It is a tau number, because it is divible by the number of its divisors (160).
It is a hoax number, since the sum of its digits (27) 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 (27).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (23276167) by changing a digit.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 51616 + ... + 52064.
Almost surely, 223276160 is an apocalyptic number.
23276160 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 23276160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41654250).
23276160 is an abundant number, since it is smaller than the sum of its proper divisors (60032340).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23276160 is an equidigital number, since it uses as much as digits as its factorization.
23276160 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 480 (or 459 counting only the distinct ones).
The product of its (nonzero) digits is 3024, while the sum is 27.
The square root of 23276160 is about 4824.5372835123. The cubic root of 23276160 is about 285.5203789065.
It can be divided in two parts, 23276 and 160, that added together give a triangular number (23436 = T216).
The spelling of 23276160 in words is "twenty-three million, two hundred seventy-six thousand, one hundred sixty".
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