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2085876 = 2232134457
BaseRepresentation
bin111111101001111110100
310220222021200
413331033310
51013222001
6112412500
723505162
oct7751764
93828250
102085876
1111a5171
12847130
13580560
143c4232
152b3086
hex1fd3f4

2085876 has 36 divisors (see below), whose sum is σ = 5679492. Its totient is φ = 641664.

The previous prime is 2085869. The next prime is 2085899. The reversal of 2085876 is 6785802.

It can be written as a sum of positive squares in 2 ways, for example, as 853776 + 1232100 = 924^2 + 1110^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2085876.

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, 1761 + ... + 2696.

22085876 is an apocalyptic number.

2085876 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2085876 is an abundant number, since it is smaller than the sum of its proper divisors (3593616).

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

2085876 is a wasteful number, since it uses less digits than its factorization.

2085876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4480 (or 4475 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 2085876 is about 1444.2562099572. The cubic root of 2085876 is about 127.7701767935.

It can be divided in two parts, 208 and 5876, that added together give a square (6084 = 782).

The spelling of 2085876 in words is "two million, eighty-five thousand, eight hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 4457 8914 13371 17828 26742 40113 53484 57941 80226 115882 160452 173823 231764 347646 521469 695292 1042938 2085876