Base | Representation |
---|---|
bin | 10110000100000100… |
… | …111010001011000000 |
3 | 2021011001021001121000 |
4 | 112010010322023000 |
5 | 342004310401330 |
6 | 14514450132000 |
7 | 1466035522251 |
oct | 260404721300 |
9 | 67131231530 |
10 | 23690715840 |
11 | a057878500 |
12 | 4711b81000 |
13 | 23071ca76c |
14 | 120a52ab28 |
15 | 939c9b560 |
hex | 58413a2c0 |
23690715840 has 1344 divisors, whose sum is σ = 102740520960. Its totient is φ = 5109350400.
The previous prime is 23690715827. The next prime is 23690715847. The reversal of 23690715840 is 4851709632.
23690715840 is a `hidden beast` number, since 2 + 3 + 69 + 0 + 7 + 1 + 584 + 0 = 666.
It is a super-2 number, since 2×236907158402 (a number of 22 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is not an unprimeable number, because it can be changed into a prime (23690715847) by changing a digit.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 550946859 + ... + 550946901.
It is an arithmetic number, because the mean of its divisors is an integer number (76443840).
It is a 1-persistent number, because it is pandigital, but 2⋅23690715840 = 47381431680 is not.
Almost surely, 223690715840 is an apocalyptic number.
23690715840 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 23690715840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51370260480).
23690715840 is an abundant number, since it is smaller than the sum of its proper divisors (79049805120).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23690715840 is a wasteful number, since it uses less digits than its factorization.
23690715840 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 139 (or 112 counting only the distinct ones).
The product of its (nonzero) digits is 362880, while the sum is 45.
The spelling of 23690715840 in words is "twenty-three billion, six hundred ninety million, seven hundred fifteen thousand, eight hundred forty".
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