Base | Representation |
---|---|
bin | 1010111101111… |
… | …0101000000000 |
3 | 10012120002000102 |
4 | 2233132220000 |
5 | 43234010030 |
6 | 4321541532 |
7 | 1065666440 |
oct | 257365000 |
9 | 105502012 |
10 | 46000640 |
11 | 23a69a64 |
12 | 134a48a8 |
13 | 96b7c1a |
14 | 6176120 |
15 | 4089c45 |
hex | 2bdea00 |
46000640 has 160 divisors (see below), whose sum is σ = 134348544. Its totient is φ = 14745600.
The previous prime is 46000637. The next prime is 46000681. The reversal of 46000640 is 4600064.
It is a tau number, because it is divible by the number of its divisors (160).
It is a Harshad number since it is a multiple of its sum of digits (20).
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, 304565 + ... + 304715.
Almost surely, 246000640 is an apocalyptic number.
46000640 is a gapful number since it is divisible by the number (40) 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 46000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67174272).
46000640 is an abundant number, since it is smaller than the sum of its proper divisors (88347904).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
46000640 is a wasteful number, since it uses less digits than its factorization.
46000640 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 198 (or 182 counting only the distinct ones).
The product of its (nonzero) digits is 576, while the sum is 20.
The square root of 46000640 is about 6782.3771643871. The cubic root of 46000640 is about 358.3064487972.
46000640 divided by its sum of digits (20) gives a palindrome (2300032).
Subtracting from 46000640 its product of nonzero digits (576), we obtain a palindrome (46000064).
The spelling of 46000640 in words is "forty-six million, six hundred forty", and thus it is an aban number.
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