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26400540 = 2235440009
BaseRepresentation
bin110010010110…
…1011100011100
31211200021201210
41210231130130
523224304130
62341504420
7440254335
oct144553434
954607653
1026400540
11139a2131
128a12110
13561482a
14371328c
1524b75b0
hex192d71c

26400540 has 24 divisors (see below), whose sum is σ = 73921680. Its totient is φ = 7040128.

The previous prime is 26400509. The next prime is 26400547. The reversal of 26400540 is 4500462.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26400547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 219945 + ... + 220064.

It is an arithmetic number, because the mean of its divisors is an integer number (3080070).

Almost surely, 226400540 is an apocalyptic number.

26400540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26400540 is an abundant number, since it is smaller than the sum of its proper divisors (47521140).

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

26400540 is a wasteful number, since it uses less digits than its factorization.

26400540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440021 (or 440019 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 26400540 is about 5138.1455798761. The cubic root of 26400540 is about 297.7631407663.

The spelling of 26400540 in words is "twenty-six million, four hundred thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 440009 880018 1320027 1760036 2200045 2640054 4400090 5280108 6600135 8800180 13200270 26400540