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2672904 = 233132659
BaseRepresentation
bin1010001100100100001000
312000210112110
422030210020
51141013104
6133142320
731501503
oct12144410
95023473
102672904
111566213
12a8a9a0
13727800
144d813a
1537be89
hex28c908

2672904 has 48 divisors (see below), whose sum is σ = 7246800. Its totient is φ = 821184.

The previous prime is 2672903. The next prime is 2672921. The reversal of 2672904 is 4092762.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2672903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3727 + ... + 4385.

It is an arithmetic number, because the mean of its divisors is an integer number (150975).

22672904 is an apocalyptic number.

2672904 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 2672904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3623400).

2672904 is an abundant number, since it is smaller than the sum of its proper divisors (4573896).

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

2672904 is a wasteful number, since it uses less digits than its factorization.

2672904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 677 counting only the distinct ones).

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

The square root of 2672904 is about 1634.9018319153. The cubic root of 2672904 is about 138.7802888181.

The spelling of 2672904 in words is "two million, six hundred seventy-two thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 169 312 338 507 659 676 1014 1318 1352 1977 2028 2636 3954 4056 5272 7908 8567 15816 17134 25701 34268 51402 68536 102804 111371 205608 222742 334113 445484 668226 890968 1336452 2672904