Base | Representation |
---|---|
bin | 101100110100… |
… | …0011100100000 |
3 | 1122012202010000 |
4 | 1121220130200 |
5 | 22003341410 |
6 | 2155340000 |
7 | 403500600 |
oct | 131503440 |
9 | 48182100 |
10 | 23496480 |
11 | 12299287 |
12 | 7a51600 |
13 | 4b38a57 |
14 | 3198c00 |
15 | 20e1dc0 |
hex | 1668720 |
23496480 has 360 divisors, whose sum is σ = 99068508. Its totient is φ = 5225472.
The previous prime is 23496479. The next prime is 23496493. The reversal of 23496480 is 8469432.
23496480 = T155 + T156 + ... + T524.
It is a happy number.
23496480 is a `hidden beast` number, since 2 + 3 + 4 + 9 + 648 + 0 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 22924944 + 571536 = 4788^2 + 756^2 .
It is a tau number, because it is divible by the number of its divisors (360).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is an unprimeable number.
It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 635022 + ... + 635058.
Almost surely, 223496480 is an apocalyptic number.
23496480 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 23496480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49534254).
23496480 is an abundant number, since it is smaller than the sum of its proper divisors (75572028).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23496480 is a wasteful number, since it uses less digits than its factorization.
23496480 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 78 (or 54 counting only the distinct ones).
The product of its (nonzero) digits is 41472, while the sum is 36.
The square root of 23496480 is about 4847.3167835412. The cubic root of 23496480 is about 286.4184137636.
The spelling of 23496480 in words is "twenty-three million, four hundred ninety-six thousand, four hundred eighty".
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