Base | Representation |
---|---|
bin | 101101100100… |
… | …1110001101000 |
3 | 1122221222222100 |
4 | 1123021301220 |
5 | 22104121034 |
6 | 2212053400 |
7 | 410051100 |
oct | 133116150 |
9 | 48858870 |
10 | 23895144 |
11 | 12540859 |
12 | 8004260 |
13 | 4c48350 |
14 | 3260200 |
15 | 2170099 |
hex | 16c9c68 |
23895144 has 144 divisors (see below), whose sum is σ = 81228420. Its totient is φ = 6289920.
The previous prime is 23895139. The next prime is 23895167. The reversal of 23895144 is 44159832.
It can be written as a sum of positive squares in 2 ways, for example, as 21734244 + 2160900 = 4662^2 + 1470^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 23895099 and 23895108.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 45604 + ... + 46124.
Almost surely, 223895144 is an apocalyptic number.
23895144 is a gapful number since it is divisible by the number (24) 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 23895144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40614210).
23895144 is an abundant number, since it is smaller than the sum of its proper divisors (57333276).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23895144 is a wasteful number, since it uses less digits than its factorization.
23895144 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 560 (or 546 counting only the distinct ones).
The product of its digits is 34560, while the sum is 36.
The square root of 23895144 is about 4888.2659502118. The cubic root of 23895144 is about 288.0292215720.
The spelling of 23895144 in words is "twenty-three million, eight hundred ninety-five thousand, one hundred forty-four".
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