Base | Representation |
---|---|
bin | 1000001001110101011000 |
3 | 11000121000011 |
4 | 20021311120 |
5 | 1021344212 |
6 | 113451304 |
7 | 24111403 |
oct | 10116530 |
9 | 4017004 |
10 | 2137432 |
11 | 122a980 |
12 | 870b34 |
13 | 59ab6b |
14 | 3d8d3a |
15 | 2c34a7 |
hex | 209d58 |
2137432 has 32 divisors (see below), whose sum is σ = 4432320. Its totient is φ = 958240.
The previous prime is 2137423. The next prime is 2137441. The reversal of 2137432 is 2347312.
It is an interprime number because it is at equal distance from previous prime (2137423) and next prime (2137441).
It is a Harshad number since it is a multiple of its sum of digits (22).
It is a d-powerful number, because it can be written as 25 + 1 + 3 + 74 + 47 + 313 + 219 .
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9303 + ... + 9529.
It is an arithmetic number, because the mean of its divisors is an integer number (138510).
22137432 is an apocalyptic number.
2137432 is a gapful number since it is divisible by the number (22) 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 2137432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2216160).
2137432 is an abundant number, since it is smaller than the sum of its proper divisors (2294888).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2137432 is a wasteful number, since it uses less digits than its factorization.
2137432 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 351 (or 347 counting only the distinct ones).
The product of its digits is 1008, while the sum is 22.
The square root of 2137432 is about 1461.9958960271. The cubic root of 2137432 is about 128.8143072722.
The spelling of 2137432 in words is "two million, one hundred thirty-seven thousand, four hundred thirty-two".
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