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2137460 = 225138221
BaseRepresentation
bin1000001001110101110100
311000121001012
420021311310
51021344320
6113451352
724111443
oct10116564
94017035
102137460
11122a9a6
12870b58
1359ab90
143d8d5a
152c34c5
hex209d74

2137460 has 24 divisors (see below), whose sum is σ = 4834536. Its totient is φ = 789120.

The previous prime is 2137451. The next prime is 2137483. The reversal of 2137460 is 647312.

2137460 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 320356 + 1817104 = 566^2 + 1348^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3851 + ... + 4370.

It is an arithmetic number, because the mean of its divisors is an integer number (201439).

22137460 is an apocalyptic number.

2137460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2137460 is an abundant number, since it is smaller than the sum of its proper divisors (2697076).

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

2137460 is a wasteful number, since it uses less digits than its factorization.

2137460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8243 (or 8241 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 2137460 is about 1462.0054719460. The cubic root of 2137460 is about 128.8148697517.

The spelling of 2137460 in words is "two million, one hundred thirty-seven thousand, four hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 8221 16442 32884 41105 82210 106873 164420 213746 427492 534365 1068730 2137460