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2465140 = 225232233
BaseRepresentation
bin1001011001110101110100
311122020112111
421121311310
51112341030
6124500404
726644666
oct11316564
94566474
102465140
111434107
129aa704
13684082
14482536
1533a62a
hex259d74

2465140 has 36 divisors (see below), whose sum is σ = 5434884. Its totient is φ = 939136.

The previous prime is 2465129. The next prime is 2465143. The reversal of 2465140 is 415642.

It can be written as a sum of positive squares in 2 ways, for example, as 685584 + 1779556 = 828^2 + 1334^2 .

It is a super-3 number, since 3×24651403 = 44941340353334232000, which contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2465143) 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, 10464 + ... + 10696.

It is an arithmetic number, because the mean of its divisors is an integer number (150969).

22465140 is an apocalyptic number.

2465140 is a gapful number since it is divisible by the number (20) 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 2465140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2717442).

2465140 is an abundant number, since it is smaller than the sum of its proper divisors (2969744).

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

2465140 is a wasteful number, since it uses less digits than its factorization.

2465140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 2465140 is about 1570.0764312606. The cubic root of 2465140 is about 135.0870951474.

The spelling of 2465140 in words is "two million, four hundred sixty-five thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 233 460 466 529 932 1058 1165 2116 2330 2645 4660 5290 5359 10580 10718 21436 26795 53590 107180 123257 246514 493028 616285 1232570 2465140