Base | Representation |
---|---|
bin | 10110000111000001… |
… | …100000000001000000 |
3 | 2021021111021202220000 |
4 | 112013001200001000 |
5 | 342104434411140 |
6 | 14523413520000 |
7 | 1500205656510 |
oct | 260701400100 |
9 | 67244252800 |
10 | 23740153920 |
11 | a08277501a |
12 | 4726643000 |
13 | 231451a172 |
14 | 1212d19840 |
15 | 93e2b4a30 |
hex | 587060040 |
23740153920 has 280 divisors, whose sum is σ = 96512627904. Its totient is φ = 5426279424.
The previous prime is 23740153903. The next prime is 23740153939. The reversal of 23740153920 is 2935104732.
It is a tau number, because it is divible by the number of its divisors (280).
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 an unprimeable number.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 116019 + ... + 246861.
Almost surely, 223740153920 is an apocalyptic number.
23740153920 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 23740153920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48256313952).
23740153920 is an abundant number, since it is smaller than the sum of its proper divisors (72772473984).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23740153920 is a wasteful number, since it uses less digits than its factorization.
23740153920 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 130879 (or 130860 counting only the distinct ones).
The product of its (nonzero) digits is 45360, while the sum is 36.
The spelling of 23740153920 in words is "twenty-three billion, seven hundred forty million, one hundred fifty-three thousand, nine hundred twenty".
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