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2140425 = 34527151
BaseRepresentation
bin1000001010100100001001
311000202010000
420022210021
51021443200
6113513213
724123210
oct10124411
94022100
102140425
111232151
12872809
1359c331
143da077
152c4300
hex20a909

2140425 has 60 divisors (see below), whose sum is σ = 4561216. Its totient is φ = 972000.

The previous prime is 2140421. The next prime is 2140441. The reversal of 2140425 is 5240412.

It is not a de Polignac number, because 2140425 - 22 = 2140421 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2140398 and 2140407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2140421) 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 59 ways as a sum of consecutive naturals, for example, 14100 + ... + 14250.

22140425 is an apocalyptic number.

2140425 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2140425 is an abundant number, since it is smaller than the sum of its proper divisors (2420791).

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

2140425 is a wasteful number, since it uses less digits than its factorization.

2140425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 2140425 is about 1463.0191386308. The cubic root of 2140425 is about 128.8744045301.

Adding to 2140425 its reverse (5240412), we get a palindrome (7380837).

The spelling of 2140425 in words is "two million, one hundred forty thousand, four hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 63 75 81 105 135 151 175 189 225 315 405 453 525 567 675 755 945 1057 1359 1575 2025 2265 2835 3171 3775 4077 4725 5285 6795 9513 11325 12231 14175 15855 20385 26425 28539 33975 47565 61155 79275 85617 101925 142695 237825 305775 428085 713475 2140425