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2084904 = 2332231259
BaseRepresentation
bin111111101000000101000
310220220221200
413331000220
51013204104
6112404200
723502303
oct7750050
93826850
102084904
1111a4468
12846660
1357cc93
143c3b3a
152b2b39
hex1fd028

2084904 has 48 divisors (see below), whose sum is σ = 5896800. Its totient is φ = 664224.

The previous prime is 2084903. The next prime is 2084917. The reversal of 2084904 is 4094802.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2084903) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1027 + ... + 2285.

It is an arithmetic number, because the mean of its divisors is an integer number (122850).

22084904 is an apocalyptic number.

2084904 is a gapful number since it is divisible by the number (24) 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 2084904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2948400).

2084904 is an abundant number, since it is smaller than the sum of its proper divisors (3811896).

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

2084904 is a wasteful number, since it uses less digits than its factorization.

2084904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1294 (or 1287 counting only the distinct ones).

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

The square root of 2084904 is about 1443.9196653554. The cubic root of 2084904 is about 127.7503271144.

The spelling of 2084904 in words is "two million, eighty-four thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 552 828 1259 1656 2518 3777 5036 7554 10072 11331 15108 22662 28957 30216 45324 57914 86871 90648 115828 173742 231656 260613 347484 521226 694968 1042452 2084904