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2130882 = 2313171607
BaseRepresentation
bin1000001000001111000010
311000021000120
420020033002
51021142012
6113401110
724053325
oct10101702
94007016
102130882
111225a66
12869196
13597ba0
143d67bc
152c158c
hex2083c2

2130882 has 32 divisors (see below), whose sum is σ = 4862592. Its totient is φ = 616704.

The previous prime is 2130857. The next prime is 2130901. The reversal of 2130882 is 2880312.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 523 + ... + 2129.

It is an arithmetic number, because the mean of its divisors is an integer number (151956).

22130882 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2130882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2431296).

2130882 is an abundant number, since it is smaller than the sum of its proper divisors (2731710).

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

2130882 is a wasteful number, since it uses less digits than its factorization.

2130882 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1642.

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 2130882 is about 1459.7540888794. The cubic root of 2130882 is about 128.6825920433.

It can be divided in two parts, 21 and 30882, that added together give a palindrome (30903).

The spelling of 2130882 in words is "two million, one hundred thirty thousand, eight hundred eighty-two".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 102 221 442 663 1326 1607 3214 4821 9642 20891 27319 41782 54638 62673 81957 125346 163914 355147 710294 1065441 2130882