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26806640 = 245747869
BaseRepresentation
bin110011001000…
…0100101110000
31212102220210112
41212100211300
523330303030
62354320452
7443565320
oct146204560
955386715
1026806640
111414a253
128b89128
135727623
1437bb280
152547a95
hex1990970

26806640 has 40 divisors (see below), whose sum is σ = 71230560. Its totient is φ = 9190656.

The previous prime is 26806639. The next prime is 26806649. The reversal of 26806640 is 4660862.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 26806597 and 26806606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26806649) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23375 + ... + 24494.

It is an arithmetic number, because the mean of its divisors is an integer number (1780764).

Almost surely, 226806640 is an apocalyptic number.

26806640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26806640 is an abundant number, since it is smaller than the sum of its proper divisors (44423920).

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

26806640 is a wasteful number, since it uses less digits than its factorization.

26806640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47889 (or 47883 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 26806640 is about 5177.5129164494. The cubic root of 26806640 is about 299.2821354570.

The spelling of 26806640 in words is "twenty-six million, eight hundred six thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 47869 95738 191476 239345 335083 382952 478690 670166 765904 957380 1340332 1675415 1914760 2680664 3350830 3829520 5361328 6701660 13403320 26806640