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26854040 = 235532239
BaseRepresentation
bin110011001110…
…0001010011000
31212112022211002
41212130022120
523333312130
62355324132
7444153443
oct146341230
955468732
1026854040
1114181924
128bb0648
135743085
1437d065a
152556b45
hex199c298

26854040 has 48 divisors (see below), whose sum is σ = 61840800. Its totient is φ = 10494848.

The previous prime is 26854039. The next prime is 26854043. The reversal of 26854040 is 4045862.

It is a super-2 number, since 2×268540402 = 1442278928643200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 26853994 and 26854012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26854043) 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 11 ways as a sum of consecutive naturals, for example, 112241 + ... + 112479.

It is an arithmetic number, because the mean of its divisors is an integer number (1288350).

Almost surely, 226854040 is an apocalyptic number.

26854040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26854040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30920400).

26854040 is an abundant number, since it is smaller than the sum of its proper divisors (34986760).

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

26854040 is a wasteful number, since it uses less digits than its factorization.

26854040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 26854040 is about 5182.0883821101. The cubic root of 26854040 is about 299.4584303367.

The spelling of 26854040 in words is "twenty-six million, eight hundred fifty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 53 106 212 239 265 424 478 530 956 1060 1195 1912 2120 2390 2809 4780 5618 9560 11236 12667 14045 22472 25334 28090 50668 56180 63335 101336 112360 126670 253340 506680 671351 1342702 2685404 3356755 5370808 6713510 13427020 26854040