Base | Representation |
---|---|
bin | 1010111001001… |
… | …00110000000000 |
3 | 20100221102012000 |
4 | 11130210300000 |
5 | 141343023030 |
6 | 13022304000 |
7 | 2156455125 |
oct | 534446000 |
9 | 210842160 |
10 | 91376640 |
11 | 47641693 |
12 | 26728000 |
13 | 15c14724 |
14 | c1c874c |
15 | 804e860 |
hex | 5724c00 |
91376640 has 176 divisors, whose sum is σ = 325227360. Its totient is φ = 24330240.
The previous prime is 91376639. The next prime is 91376647. The reversal of 91376640 is 4667319.
91376640 is a `hidden beast` number, since 9 + 1 + 3 + 7 + 6 + 640 = 666.
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 = 91376595 and 91376604.
It is not an unprimeable number, because it can be changed into a prime (91376647) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137910 + ... + 138570.
Almost surely, 291376640 is an apocalyptic number.
91376640 is a gapful number since it is divisible by the number (90) 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 91376640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162613680).
91376640 is an abundant number, since it is smaller than the sum of its proper divisors (233850720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
91376640 is a wasteful number, since it uses less digits than its factorization.
91376640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 695 (or 671 counting only the distinct ones).
The product of its (nonzero) digits is 27216, while the sum is 36.
The square root of 91376640 is about 9559.1129295558. The cubic root of 91376640 is about 450.4138415171.
The spelling of 91376640 in words is "ninety-one million, three hundred seventy-six thousand, six hundred forty".
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