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2640792 = 2337111429
BaseRepresentation
bin1010000100101110011000
311222011111010
422010232120
51134001132
6132333520
731306050
oct12045630
94864433
102640792
111544080
12a742a0
13715ccb
144ca560
153726cc
hex284b98

2640792 has 64 divisors (see below), whose sum is σ = 8236800. Its totient is φ = 685440.

The previous prime is 2640779. The next prime is 2640821. The reversal of 2640792 is 2970462.

It is a happy number.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a d-powerful number, because it can be written as 215 + 68 + 48 + 0 + 77 + 94 + 215 .

2640792 is a modest number, since divided by 792 gives 264 as remainder.

It is a congruent number.

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, 1134 + ... + 2562.

It is an arithmetic number, because the mean of its divisors is an integer number (128700).

22640792 is an apocalyptic number.

2640792 is a gapful number since it is divisible by the number (22) 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 2640792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4118400).

2640792 is an abundant number, since it is smaller than the sum of its proper divisors (5596008).

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

2640792 is a wasteful number, since it uses less digits than its factorization.

2640792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1456 (or 1452 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 2640792 is about 1625.0513838030. The cubic root of 2640792 is about 138.2222840648. Note that the first 4 decimals are identical.

The spelling of 2640792 in words is "two million, six hundred forty thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 462 616 924 1429 1848 2858 4287 5716 8574 10003 11432 15719 17148 20006 30009 31438 34296 40012 47157 60018 62876 80024 94314 110033 120036 125752 188628 220066 240072 330099 377256 440132 660198 880264 1320396 2640792