Base | Representation |
---|---|
bin | 100001111010011… |
… | …0111010110111000 |
3 | 2221022012220211200 |
4 | 1003310313112320 |
5 | 4312302303304 |
6 | 304525454200 |
7 | 40125155100 |
oct | 10364672670 |
9 | 2838186750 |
10 | 1137931704 |
11 | 534372a28 |
12 | 279111360 |
13 | 1519a1c90 |
14 | ab1b4200 |
15 | 69d79e39 |
hex | 43d375b8 |
1137931704 has 288 divisors, whose sum is σ = 3957473520. Its totient is φ = 292626432.
The previous prime is 1137931687. The next prime is 1137931709. The reversal of 1137931704 is 4071397311.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1137931709) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1971864 + ... + 1972440.
Almost surely, 21137931704 is an apocalyptic number.
1137931704 is a gapful number since it is divisible by the number (14) 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 1137931704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1978736760).
1137931704 is an abundant number, since it is smaller than the sum of its proper divisors (2819541816).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1137931704 is a wasteful number, since it uses less digits than its factorization.
1137931704 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 659 (or 645 counting only the distinct ones).
The product of its (nonzero) digits is 15876, while the sum is 36.
The square root of 1137931704 is about 33733.2433068627. The cubic root of 1137931704 is about 1044.0117803753.
The spelling of 1137931704 in words is "one billion, one hundred thirty-seven million, nine hundred thirty-one thousand, seven hundred four".
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