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2131893 = 33233433
BaseRepresentation
bin1000001000011110110101
311000022102000
420020132311
51021210033
6113405513
724056301
oct10103665
94008360
102131893
1112267a5
12869899
1359849a
143d6d01
152c1a13
hex2087b5

2131893 has 16 divisors (see below), whose sum is σ = 3296640. Its totient is φ = 1359072.

The previous prime is 2131867. The next prime is 2131907. The reversal of 2131893 is 3981312.

It is not a de Polignac number, because 2131893 - 213 = 2123701 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131813) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1096 + ... + 2337.

It is an arithmetic number, because the mean of its divisors is an integer number (206040).

22131893 is an apocalyptic number.

2131893 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2131893 is a deficient number, since it is larger than the sum of its proper divisors (1164747).

2131893 is a wasteful number, since it uses less digits than its factorization.

2131893 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3465 (or 3459 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 2131893 is about 1460.1003390178. The cubic root of 2131893 is about 128.7029400386.

The spelling of 2131893 in words is "two million, one hundred thirty-one thousand, eight hundred ninety-three".

Divisors: 1 3 9 23 27 69 207 621 3433 10299 30897 78959 92691 236877 710631 2131893