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2084292 = 22347919
BaseRepresentation
bin111111100110111000100
310220220010000
413330313010
51013144132
6112401300
723500440
oct7746704
93826100
102084292
1111a3a61
12846230
1357c912
143c3820
152b287c
hex1fcdc4

2084292 has 60 divisors (see below), whose sum is σ = 6233920. Its totient is φ = 594864.

The previous prime is 2084287. The next prime is 2084297. The reversal of 2084292 is 2924802.

It is an interprime number because it is at equal distance from previous prime (2084287) and next prime (2084297).

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (2084297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1809 + ... + 2727.

22084292 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 2084292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3116960).

2084292 is an abundant number, since it is smaller than the sum of its proper divisors (4149628).

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

2084292 is a wasteful number, since it uses less digits than its factorization.

2084292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2084292 is about 1443.7077266538. The cubic root of 2084292 is about 127.7378260031.

The spelling of 2084292 in words is "two million, eighty-four thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 252 324 378 567 756 919 1134 1838 2268 2757 3676 5514 6433 8271 11028 12866 16542 19299 24813 25732 33084 38598 49626 57897 74439 77196 99252 115794 148878 173691 231588 297756 347382 521073 694764 1042146 2084292