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2656480 = 25516603
BaseRepresentation
bin1010001000100011100000
311222222000011
422020203200
51140001410
6132534304
731402561
oct12104340
94888004
102656480
111554942
12a81394
137201a8
144d2168
1537718a
hex2888e0

2656480 has 24 divisors (see below), whose sum is σ = 6276312. Its totient is φ = 1062528.

The previous prime is 2656457. The next prime is 2656499. The reversal of 2656480 is 846562.

It is a super-3 number, since 3×26564803 = 56239429487333376000, which contains 333 as substring.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 8142 + ... + 8461.

It is an arithmetic number, because the mean of its divisors is an integer number (261513).

22656480 is an apocalyptic number.

2656480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2656480 is an abundant number, since it is smaller than the sum of its proper divisors (3619832).

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

2656480 is a wasteful number, since it uses less digits than its factorization.

2656480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16618 (or 16610 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 2656480 is about 1629.8711605523. The cubic root of 2656480 is about 138.4954535471.

It can be divided in two parts, 2656 and 480, that added together give a square (3136 = 562).

The spelling of 2656480 in words is "two million, six hundred fifty-six thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 16603 33206 66412 83015 132824 166030 265648 332060 531296 664120 1328240 2656480