Base | Representation |
---|---|
bin | 10110001011000… |
… | …100100001100000 |
3 | 221220222121020210 |
4 | 112023010201200 |
5 | 1230213011424 |
6 | 100525134120 |
7 | 12134645424 |
oct | 2613044140 |
9 | 856877223 |
10 | 372000864 |
11 | 180a91834 |
12 | a46ba340 |
13 | 5c0ba271 |
14 | 37596b84 |
15 | 229d2729 |
hex | 162c4860 |
372000864 has 96 divisors (see below), whose sum is σ = 1032030720. Its totient is φ = 117135872.
The previous prime is 372000857. The next prime is 372000901. The reversal of 372000864 is 468000273.
It is a tau number, because it is divible by the number of its divisors (96).
It is a congruent number.
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, 129427 + ... + 132269.
It is an arithmetic number, because the mean of its divisors is an integer number (10750320).
Almost surely, 2372000864 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 372000864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516015360).
372000864 is an abundant number, since it is smaller than the sum of its proper divisors (660029856).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
372000864 is a wasteful number, since it uses less digits than its factorization.
372000864 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2932 (or 2924 counting only the distinct ones).
The product of its (nonzero) digits is 8064, while the sum is 30.
The square root of 372000864 is about 19287.3239201295. The cubic root of 372000864 is about 719.1971916117.
The spelling of 372000864 in words is "three hundred seventy-two million, eight hundred sixty-four", and thus it is an aban number.
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