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2084440 = 23531412
BaseRepresentation
bin111111100111001011000
310220220022111
413330321120
51013200230
6112402104
723501041
oct7747130
93826274
102084440
1111a4086
12846334
1357c9c7
143c38c8
152b292a
hex1fce58

2084440 has 48 divisors (see below), whose sum is σ = 4962240. Its totient is φ = 787200.

The previous prime is 2084419. The next prime is 2084441. The reversal of 2084440 is 444802.

It is a super-2 number, since 2×20844402 = 8689780227200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2084441) 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 11 ways as a sum of consecutive naturals, for example, 50820 + ... + 50860.

It is an arithmetic number, because the mean of its divisors is an integer number (103380).

22084440 is an apocalyptic number.

2084440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2084440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2481120).

2084440 is an abundant number, since it is smaller than the sum of its proper divisors (2877800).

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

2084440 is a wasteful number, since it uses less digits than its factorization.

2084440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 2084440 is about 1443.7589826560. The cubic root of 2084440 is about 127.7408493719.

The spelling of 2084440 in words is "two million, eighty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 31 40 41 62 82 124 155 164 205 248 310 328 410 620 820 1240 1271 1640 1681 2542 3362 5084 6355 6724 8405 10168 12710 13448 16810 25420 33620 50840 52111 67240 104222 208444 260555 416888 521110 1042220 2084440