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2131892 = 227273149
BaseRepresentation
bin1000001000011110110100
311000022101222
420020132310
51021210032
6113405512
724056300
oct10103664
94008358
102131892
1112267a4
12869898
13598499
143d6d00
152c1a12
hex2087b4

2131892 has 36 divisors (see below), whose sum is σ = 4428900. Its totient is φ = 895104.

The previous prime is 2131867. The next prime is 2131907. The reversal of 2131892 is 2981312.

It can be written as a sum of positive squares in 2 ways, for example, as 682276 + 1449616 = 826^2 + 1204^2 .

It is a d-powerful number, because it can be written as 215 + 1 + 36 + 1 + 83 + 93 + 221 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14234 + ... + 14382.

It is an arithmetic number, because the mean of its divisors is an integer number (123025).

22131892 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 2131892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2214450).

2131892 is an abundant number, since it is smaller than the sum of its proper divisors (2297008).

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

2131892 is a wasteful number, since it uses less digits than its factorization.

2131892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 231 counting only the distinct ones).

The product of its digits is 864, while the sum is 26.

The square root of 2131892 is about 1460.0999965756. The cubic root of 2131892 is about 128.7029199152.

It can be divided in two parts, 21 and 31892, that added together give a palindrome (31913).

The spelling of 2131892 in words is "two million, one hundred thirty-one thousand, eight hundred ninety-two".

Divisors: 1 2 4 7 14 28 49 73 98 146 149 196 292 298 511 596 1022 1043 2044 2086 3577 4172 7154 7301 10877 14308 14602 21754 29204 43508 76139 152278 304556 532973 1065946 2131892