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2137256 = 2311149163
BaseRepresentation
bin1000001001110010101000
311000120202122
420021302220
51021343011
6113450412
724111032
oct10116250
94016678
102137256
11122a830
12870a08
1359aa64
143d8c52
152c33db
hex209ca8

2137256 has 32 divisors (see below), whose sum is σ = 4428000. Its totient is φ = 959040.

The previous prime is 2137243. The next prime is 2137259. The reversal of 2137256 is 6527312.

It is a d-powerful number, because it can be written as 215 + 1 + 37 + 75 + 217 + 59 + 64 .

It is not an unprimeable number, because it can be changed into a prime (2137259) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13031 + ... + 13193.

It is an arithmetic number, because the mean of its divisors is an integer number (138375).

22137256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2137256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2214000).

2137256 is an abundant number, since it is smaller than the sum of its proper divisors (2290744).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2137256 is a wasteful number, since it uses less digits than its factorization.

2137256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 325 counting only the distinct ones).

The product of its digits is 2520, while the sum is 26.

The square root of 2137256 is about 1461.9357031005. The cubic root of 2137256 is about 128.8107715745.

The spelling of 2137256 in words is "two million, one hundred thirty-seven thousand, two hundred fifty-six".

Divisors: 1 2 4 8 11 22 44 88 149 163 298 326 596 652 1192 1304 1639 1793 3278 3586 6556 7172 13112 14344 24287 48574 97148 194296 267157 534314 1068628 2137256