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66044040 = 23352323929
BaseRepresentation
bin1111101111110…
…0000010001000
311121021101101120
43323330002020
5113401402130
610315315240
71431236136
oct373740210
9147241346
1066044040
1134309957
121a14bb20
13108b501a
148ab2756
155be8910
hex3efc088

66044040 has 64 divisors (see below), whose sum is σ = 206755200. Its totient is φ = 16845312.

The previous prime is 66044039. The next prime is 66044089. The reversal of 66044040 is 4044066.

66044040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 66044040.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 9205 + ... + 14724.

It is an arithmetic number, because the mean of its divisors is an integer number (3230550).

Almost surely, 266044040 is an apocalyptic number.

66044040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66044040 is an abundant number, since it is smaller than the sum of its proper divisors (140711160).

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

66044040 is a wasteful number, since it uses less digits than its factorization.

66044040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23966 (or 23962 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 66044040 is about 8126.7484272617. The cubic root of 66044040 is about 404.2138690516.

The spelling of 66044040 in words is "sixty-six million, forty-four thousand, forty", and thus it is an eban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 1380 2760 23929 47858 71787 95716 119645 143574 191432 239290 287148 358935 478580 550367 574296 717870 957160 1100734 1435740 1651101 2201468 2751835 2871480 3302202 4402936 5503670 6604404 8255505 11007340 13208808 16511010 22014680 33022020 66044040