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66090192 = 2437239823
BaseRepresentation
bin1111110000011…
…1010011010000
311121100201200220
43330013103100
5113404341232
610320313040
71431520530
oct374072320
9147321626
1066090192
11343405a3
121a172780
131090002c
148ac54c0
155c0742c
hex3f074d0

66090192 has 80 divisors (see below), whose sum is σ = 196177920. Its totient is φ = 18781056.

The previous prime is 66090187. The next prime is 66090209. The reversal of 66090192 is 29109066.

It is a happy number.

66090192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 79893 + ... + 80715.

It is an arithmetic number, because the mean of its divisors is an integer number (2452224).

Almost surely, 266090192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66090192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98088960).

66090192 is an abundant number, since it is smaller than the sum of its proper divisors (130087728).

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

66090192 is a wasteful number, since it uses less digits than its factorization.

66090192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 66090192 is about 8129.5874434070. The cubic root of 66090192 is about 404.3080028785.

The spelling of 66090192 in words is "sixty-six million, ninety thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 239 336 478 717 823 956 1434 1646 1673 1912 2469 2868 3292 3346 3824 4938 5019 5736 5761 6584 6692 9876 10038 11472 11522 13168 13384 17283 19752 20076 23044 26768 34566 39504 40152 46088 69132 80304 92176 138264 196697 276528 393394 590091 786788 1180182 1376879 1573576 2360364 2753758 3147152 4130637 4720728 5507516 8261274 9441456 11015032 16522548 22030064 33045096 66090192