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2400980 = 225120049
BaseRepresentation
bin1001001010001011010100
311111222112012
421022023110
51103312410
6123243352
726256641
oct11121324
94458465
102400980
11139a98a
12979558
13660aca
14466dc8
15326605
hex24a2d4

2400980 has 12 divisors (see below), whose sum is σ = 5042100. Its totient is φ = 960384.

The previous prime is 2400971. The next prime is 2400989. The reversal of 2400980 is 890042.

It is an interprime number because it is at equal distance from previous prime (2400971) and next prime (2400989).

It can be written as a sum of positive squares in 2 ways, for example, as 1731856 + 669124 = 1316^2 + 818^2 .

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2400989) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 60005 + ... + 60044.

It is an arithmetic number, because the mean of its divisors is an integer number (420175).

22400980 is an apocalyptic number.

2400980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2400980 is an abundant number, since it is smaller than the sum of its proper divisors (2641120).

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

2400980 is a wasteful number, since it uses less digits than its factorization.

2400980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120058 (or 120056 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 2400980 is about 1549.5095998412. The cubic root of 2400980 is about 133.9048109891.

The spelling of 2400980 in words is "two million, four hundred thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 120049 240098 480196 600245 1200490 2400980