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66976686 = 23371671061
BaseRepresentation
bin1111111101111…
…1101110101110
311200000202202000
43333133232232
5114121223221
610351313130
71442202210
oct377375656
9150022660
1066976686
1134896637
121a51b7a6
1310b5069a
148c765b0
155d2ee26
hex3fdfbae

66976686 has 64 divisors (see below), whose sum is σ = 171279360. Its totient is φ = 19003680.

The previous prime is 66976681. The next prime is 66976687. The reversal of 66976686 is 68667966.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66976681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62596 + ... + 63656.

It is an arithmetic number, because the mean of its divisors is an integer number (2676240).

Almost surely, 266976686 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66976686, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85639680).

66976686 is an abundant number, since it is smaller than the sum of its proper divisors (104302674).

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

66976686 is a wasteful number, since it uses less digits than its factorization.

66976686 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1246 (or 1240 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The square root of 66976686 is about 8183.9285187494. The cubic root of 66976686 is about 406.1076946626.

The spelling of 66976686 in words is "sixty-six million, nine hundred seventy-six thousand, six hundred eighty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 167 189 334 378 501 1002 1061 1169 1503 2122 2338 3006 3183 3507 4509 6366 7014 7427 9018 9549 10521 14854 19098 21042 22281 28647 31563 44562 57294 63126 66843 133686 177187 200529 354374 401058 531561 1063122 1240309 1594683 2480618 3189366 3720927 4784049 7441854 9568098 11162781 22325562 33488343 66976686