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26840664 = 23321133299
BaseRepresentation
bin110011001100…
…0111001011000
31212111122110200
41212120321120
523332400124
62355142200
7444066444
oct146307130
955448420
1026840664
1114172874
128ba4960
135739c66
1437c9824
152552bc9
hex1998e58

26840664 has 48 divisors (see below), whose sum is σ = 73359000. Its totient is φ = 8865024.

The previous prime is 26840663. The next prime is 26840717. The reversal of 26840664 is 46604862.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26840663) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6487 + ... + 9785.

Almost surely, 226840664 is an apocalyptic number.

26840664 is a gapful number since it is divisible by the number (24) 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 26840664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36679500).

26840664 is an abundant number, since it is smaller than the sum of its proper divisors (46518336).

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

26840664 is a wasteful number, since it uses less digits than its factorization.

26840664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3424 (or 3417 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 26840664 is about 5180.7976219883. The cubic root of 26840664 is about 299.4087019879.

The spelling of 26840664 in words is "twenty-six million, eight hundred forty thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 113 226 339 452 678 904 1017 1356 2034 2712 3299 4068 6598 8136 9897 13196 19794 26392 29691 39588 59382 79176 118764 237528 372787 745574 1118361 1491148 2236722 2982296 3355083 4473444 6710166 8946888 13420332 26840664