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26640144 = 243361667
BaseRepresentation
bin110010110011…
…1111100010000
31212010110102000
41211213330100
523304441034
62350554000
7442303026
oct145477420
955113360
1026640144
1114046153
128b08900
1356998cb
143776716
152513599
hex1967f10

26640144 has 40 divisors (see below), whose sum is σ = 76468320. Its totient is φ = 8879904.

The previous prime is 26640137. The next prime is 26640149. The reversal of 26640144 is 44104662.

26640144 is a `hidden beast` number, since 2 + 6 + 640 + 14 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (26640149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30402 + ... + 31265.

It is an arithmetic number, because the mean of its divisors is an integer number (1911708).

Almost surely, 226640144 is an apocalyptic number.

26640144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

26640144 is an abundant number, since it is smaller than the sum of its proper divisors (49828176).

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

26640144 is a wasteful number, since it uses less digits than its factorization.

26640144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61684 (or 61672 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 26640144 is about 5161.4091099234. The cubic root of 26640144 is about 298.6612345774.

The spelling of 26640144 in words is "twenty-six million, six hundred forty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 61667 123334 185001 246668 370002 493336 555003 740004 986672 1110006 1480008 1665009 2220012 2960016 3330018 4440024 6660036 8880048 13320072 26640144