Base | Representation |
---|---|
bin | 111100010100010… |
… | …1110001010000000 |
3 | 12020001101211202000 |
4 | 1320220232022000 |
5 | 13121112100421 |
6 | 532500024000 |
7 | 101104132566 |
oct | 17050561200 |
9 | 5201354660 |
10 | 2023940736 |
11 | 9495096a4 |
12 | 485992000 |
13 | 26340a38c |
14 | 152b2ba36 |
15 | bca41226 |
hex | 78a2e280 |
2023940736 has 128 divisors (see below), whose sum is σ = 5998252800. Its totient is φ = 671846400.
The previous prime is 2023940713. The next prime is 2023940749. The reversal of 2023940736 is 6370493202.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (128).
It is a super-2 number, since 2×20239407362 = 8192672205680443392, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 2023940736.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 935496 + ... + 937656.
It is an arithmetic number, because the mean of its divisors is an integer number (46861350).
Almost surely, 22023940736 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2023940736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2999126400).
2023940736 is an abundant number, since it is smaller than the sum of its proper divisors (3974312064).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2023940736 is a wasteful number, since it uses less digits than its factorization.
2023940736 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2455 (or 2437 counting only the distinct ones).
The product of its (nonzero) digits is 54432, while the sum is 36.
The square root of 2023940736 is about 44988.2288604475. The cubic root of 2023940736 is about 1264.9283624750.
The spelling of 2023940736 in words is "two billion, twenty-three million, nine hundred forty thousand, seven hundred thirty-six".
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