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2540457 = 33372543
BaseRepresentation
bin1001101100001110101001
311210001212000
421230032221
51122243312
6130241213
730410403
oct11541651
94701760
102540457
111485757
12a26209
136ac43a
144a1b73
15352adc
hex26c3a9

2540457 has 16 divisors (see below), whose sum is σ = 3866880. Its totient is φ = 1647216.

The previous prime is 2540443. The next prime is 2540479. The reversal of 2540457 is 7540452.

2540457 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 2540457 - 24 = 2540441 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 2540457.

It is not an unprimeable number, because it can be changed into a prime (2540407) 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 15 ways as a sum of consecutive naturals, for example, 273 + ... + 2270.

It is an arithmetic number, because the mean of its divisors is an integer number (241680).

22540457 is an apocalyptic number.

2540457 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

2540457 is a deficient number, since it is larger than the sum of its proper divisors (1326423).

2540457 is a wasteful number, since it uses less digits than its factorization.

2540457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2589 (or 2583 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 2540457 is about 1593.8811122540. The cubic root of 2540457 is about 136.4490813584.

The spelling of 2540457 in words is "two million, five hundred forty thousand, four hundred fifty-seven".

Divisors: 1 3 9 27 37 111 333 999 2543 7629 22887 68661 94091 282273 846819 2540457