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2084874 = 2311311019
BaseRepresentation
bin111111101000000001010
310220220220120
413331000022
51013203444
6112404110
723502231
oct7750012
93826816
102084874
1111a4440
12846636
1357cc6c
143c3b18
152b2b19
hex1fd00a

2084874 has 32 divisors (see below), whose sum is σ = 4700160. Its totient is φ = 610800.

The previous prime is 2084833. The next prime is 2084899. The reversal of 2084874 is 4784802.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1537 + ... + 2555.

It is an arithmetic number, because the mean of its divisors is an integer number (146880).

22084874 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2084874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2350080).

2084874 is an abundant number, since it is smaller than the sum of its proper divisors (2615286).

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

2084874 is a wasteful number, since it uses less digits than its factorization.

2084874 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066.

The product of its (nonzero) digits is 14336, while the sum is 33.

The square root of 2084874 is about 1443.9092769284. The cubic root of 2084874 is about 127.7497143719.

The spelling of 2084874 in words is "two million, eighty-four thousand, eight hundred seventy-four".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 186 341 682 1019 1023 2038 2046 3057 6114 11209 22418 31589 33627 63178 67254 94767 189534 347479 694958 1042437 2084874