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2540889 = 341319127
BaseRepresentation
bin1001101100010101011001
311210002110000
421230111121
51122302024
6130243213
730411561
oct11542531
94702400
102540889
11148600a
12a26509
136ac6b0
144a1da1
15352cc9
hex26c559

2540889 has 40 divisors (see below), whose sum is σ = 4336640. Its totient is φ = 1469664.

The previous prime is 2540887. The next prime is 2540903. The reversal of 2540889 is 9880452.

2540889 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2540889 - 21 = 2540887 is a prime.

It is a super-2 number, since 2×25408892 = 12912233820642, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2540887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19944 + ... + 20070.

It is an arithmetic number, because the mean of its divisors is an integer number (108416).

22540889 is an apocalyptic number.

It is an amenable number.

2540889 is a deficient number, since it is larger than the sum of its proper divisors (1795751).

2540889 is a wasteful number, since it uses less digits than its factorization.

2540889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 2540889 is about 1594.0166247565. The cubic root of 2540889 is about 136.4568152244.

The spelling of 2540889 in words is "two million, five hundred forty thousand, eight hundred eighty-nine".

Divisors: 1 3 9 13 19 27 39 57 81 117 127 171 247 351 381 513 741 1053 1143 1539 1651 2223 2413 3429 4953 6669 7239 10287 14859 20007 21717 31369 44577 65151 94107 133731 195453 282321 846963 2540889