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2132442 = 232132701
BaseRepresentation
bin1000001000100111011010
311000100011100
420020213122
51021214232
6113412230
724061014
oct10104732
94010140
102132442
111227154
1286a076
13598800
143d71b4
152c1c7c
hex2089da

2132442 has 36 divisors (see below), whose sum is σ = 5010174. Its totient is φ = 655200.

The previous prime is 2132419. The next prime is 2132461. The reversal of 2132442 is 2442312.

It can be written as a sum of positive squares in 3 ways, for example, as 1490841 + 641601 = 1221^2 + 801^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a d-powerful number, because it can be written as 29 + 1 + 36 + 215 + 44 + 45 + 221 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2692 + ... + 3392.

22132442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2132442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2505087).

2132442 is an abundant number, since it is smaller than the sum of its proper divisors (2877732).

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

2132442 is a wasteful number, since it uses less digits than its factorization.

2132442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735 (or 719 counting only the distinct ones).

The product of its digits is 384, while the sum is 18.

The square root of 2132442 is about 1460.2883276942. The cubic root of 2132442 is about 128.7139868484.

Adding to 2132442 its reverse (2442312), we get a palindrome (4574754).

The spelling of 2132442 in words is "two million, one hundred thirty-two thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 169 234 338 507 701 1014 1402 1521 2103 3042 4206 6309 9113 12618 18226 27339 54678 82017 118469 164034 236938 355407 710814 1066221 2132442