Base | Representation |
---|---|
bin | 1110010001100110… |
… | …0111100000000000 |
3 | 100220001102201220200 |
4 | 3210121213200000 |
5 | 30321432430030 |
6 | 1432123205200 |
7 | 163646534202 |
oct | 34431474000 |
9 | 10801381820 |
10 | 3831920640 |
11 | 1697023769 |
12 | 8ab376800 |
13 | 490b62682 |
14 | 284cc0772 |
15 | 176623d60 |
hex | e4667800 |
3831920640 has 144 divisors (see below), whose sum is σ = 13281067800. Its totient is φ = 1021820928.
The previous prime is 3831920611. The next prime is 3831920641. The reversal of 3831920640 is 460291383.
3831920640 is a `hidden beast` number, since 3 + 8 + 3 + 1 + 9 + 2 + 0 + 640 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
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 a junction number, because it is equal to n+sod(n) for n = 3831920595 and 3831920604.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (3831920641) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71371 + ... + 112949.
Almost surely, 23831920640 is an apocalyptic number.
3831920640 is a gapful number since it is divisible by the number (30) 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 3831920640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6640533900).
3831920640 is an abundant number, since it is smaller than the sum of its proper divisors (9449147160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3831920640 is a wasteful number, since it uses less digits than its factorization.
3831920640 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 41612 (or 41589 counting only the distinct ones).
The product of its (nonzero) digits is 31104, while the sum is 36.
The square root of 3831920640 is about 61902.5091575455. The cubic root of 3831920640 is about 1564.8480344571.
The spelling of 3831920640 in words is "three billion, eight hundred thirty-one million, nine hundred twenty thousand, six hundred forty".
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