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2115882 = 23437353
BaseRepresentation
bin1000000100100100101010
310222111110000
420010210222
51020202012
6113203430
723661516
oct10044452
93874400
102115882
11121576a
12860576
13591102
143d1146
152bbddc
hex20492a

2115882 has 40 divisors (see below), whose sum is σ = 4883076. Its totient is φ = 684288.

The previous prime is 2115877. The next prime is 2115923. The reversal of 2115882 is 2885112.

It can be written as a sum of positive squares in 2 ways, for example, as 2047761 + 68121 = 1431^2 + 261^2 .

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

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 19 ways as a sum of consecutive naturals, for example, 5818 + ... + 6170.

22115882 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2115882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2441538).

2115882 is an abundant number, since it is smaller than the sum of its proper divisors (2767194).

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

2115882 is a wasteful number, since it uses less digits than its factorization.

2115882 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 395 counting only the distinct ones).

The product of its digits is 1280, while the sum is 27.

The square root of 2115882 is about 1454.6071634637. The cubic root of 2115882 is about 128.3799339767.

The spelling of 2115882 in words is "two million, one hundred fifteen thousand, eight hundred eighty-two".

Divisors: 1 2 3 6 9 18 27 37 54 74 81 111 162 222 333 353 666 706 999 1059 1998 2118 2997 3177 5994 6354 9531 13061 19062 26122 28593 39183 57186 78366 117549 235098 352647 705294 1057941 2115882