Base | Representation |
---|---|
bin | 111111101100001… |
… | …1001101001111110 |
3 | 12111221100002011000 |
4 | 1333120121221332 |
5 | 13334044243344 |
6 | 552021311130 |
7 | 103650034626 |
oct | 17730315176 |
9 | 5457302130 |
10 | 2137102974 |
11 | 9a7380106 |
12 | 4b78654a6 |
13 | 2809abb96 |
14 | 163b87886 |
15 | c7945a69 |
hex | 7f619a7e |
2137102974 has 64 divisors (see below), whose sum is σ = 4922856000. Its totient is φ = 686407680.
The previous prime is 2137102969. The next prime is 2137102987. The reversal of 2137102974 is 4792017312.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1002742 + ... + 1004870.
It is an arithmetic number, because the mean of its divisors is an integer number (76919625).
Almost surely, 22137102974 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2137102974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2461428000).
2137102974 is an abundant number, since it is smaller than the sum of its proper divisors (2785753026).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2137102974 is a wasteful number, since it uses less digits than its factorization.
2137102974 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2810 (or 2804 counting only the distinct ones).
The product of its (nonzero) digits is 21168, while the sum is 36.
The square root of 2137102974 is about 46228.8110814025. The cubic root of 2137102974 is about 1288.0769724809.
It can be divided in two parts, 2137 and 102974, that added together give a triangular number (105111 = T458).
The spelling of 2137102974 in words is "two billion, one hundred thirty-seven million, one hundred two thousand, nine hundred seventy-four".
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