Base | Representation |
---|---|
bin | 1000001001110000010000 |
3 | 11000120120000 |
4 | 20021300100 |
5 | 1021341404 |
6 | 113450000 |
7 | 24110424 |
oct | 10116020 |
9 | 4016500 |
10 | 2137104 |
11 | 122a702 |
12 | 870900 |
13 | 59a978 |
14 | 3d8b84 |
15 | 2c3339 |
hex | 209c10 |
2137104 has 100 divisors (see below), whose sum is σ = 6616764. Its totient is φ = 663552.
The previous prime is 2137073. The next prime is 2137117. The reversal of 2137104 is 4017312.
It can be written as a sum of positive squares in 2 ways, for example, as 1327104 + 810000 = 1152^2 + 900^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 21984 + ... + 22080.
22137104 is an apocalyptic number.
2137104 is a gapful number since it is divisible by the number (24) 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 2137104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3308382).
2137104 is an abundant number, since it is smaller than the sum of its proper divisors (4479660).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2137104 is a wasteful number, since it uses less digits than its factorization.
2137104 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 134 (or 119 counting only the distinct ones).
The product of its (nonzero) digits is 168, while the sum is 18.
The square root of 2137104 is about 1461.8837163058. The cubic root of 2137104 is about 128.8077178612.
The spelling of 2137104 in words is "two million, one hundred thirty-seven thousand, one hundred four".
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