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26314040 = 2353121221
BaseRepresentation
bin110010001100…
…0010100111000
31211111220002002
41210120110320
523214022130
62340000132
7436444214
oct144302470
954456062
1026314040
1113943145
128990048
1355b434c
1436cd944
15249bb45
hex1918538

26314040 has 32 divisors (see below), whose sum is σ = 61119360. Its totient is φ = 10185600.

The previous prime is 26314033. The next prime is 26314073. The reversal of 26314040 is 4041362.

It is a happy number.

It is a super-2 number, since 2×263140402 = 1384857402243200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 9371 + ... + 11850.

It is an arithmetic number, because the mean of its divisors is an integer number (1909980).

Almost surely, 226314040 is an apocalyptic number.

26314040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26314040 is an abundant number, since it is smaller than the sum of its proper divisors (34805320).

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

26314040 is a wasteful number, since it uses less digits than its factorization.

26314040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21263 (or 21259 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 26314040 is about 5129.7212399896. The cubic root of 26314040 is about 297.4375831205.

The spelling of 26314040 in words is "twenty-six million, three hundred fourteen thousand, forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 1240 21221 42442 84884 106105 169768 212210 424420 657851 848840 1315702 2631404 3289255 5262808 6578510 13157020 26314040