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26013960 = 2334573137
BaseRepresentation
bin110001100111…
…1000100001000
31210221122110000
41203033010020
523124421320
62325323000
7434054310
oct143170410
953848400
1026013960
1113758745
128866460
13550a89b
143652440
15243cc90
hex18cf108

26013960 has 320 divisors, whose sum is σ = 105937920. Its totient is φ = 5598720.

The previous prime is 26013959. The next prime is 26014003. The reversal of 26013960 is 6931062.

It is a happy number.

It is a super-2 number, since 2×260139602 = 1353452229763200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 703062 + ... + 703098.

It is an arithmetic number, because the mean of its divisors is an integer number (331056).

Almost surely, 226013960 is an apocalyptic number.

26013960 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 26013960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52968960).

26013960 is an abundant number, since it is smaller than the sum of its proper divisors (79923960).

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

26013960 is a wasteful number, since it uses less digits than its factorization.

26013960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 26013960 is about 5100.3882205181. The cubic root of 26013960 is about 296.3026184376.

It can be divided in two parts, 2601 and 3960, that added together give a 8-th power (6561 = 38).

The spelling of 26013960 in words is "twenty-six million, thirteen thousand, nine hundred sixty".