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66976794 = 2341093793
BaseRepresentation
bin1111111101111…
…1110000011010
311200000202220000
43333133300122
5114121224134
610351313430
71442202423
oct377376032
9150022800
1066976794
1134896725
121a51b876
1310b50751
148c7664a
155d2ee99
hex3fdfc1a

66976794 has 40 divisors (see below), whose sum is σ = 151494420. Its totient is φ = 22114944.

The previous prime is 66976769. The next prime is 66976799. The reversal of 66976794 is 49767966.

It can be written as a sum of positive squares in 2 ways, for example, as 66634569 + 342225 = 8163^2 + 585^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 66976794.

It is not an unprimeable number, because it can be changed into a prime (66976799) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 15762 + ... + 19554.

Almost surely, 266976794 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66976794, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75747210).

66976794 is an abundant number, since it is smaller than the sum of its proper divisors (84517626).

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

66976794 is a wasteful number, since it uses less digits than its factorization.

66976794 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3916 (or 3907 counting only the distinct ones).

The product of its digits is 3429216, while the sum is 54.

The square root of 66976794 is about 8183.9351170449. The cubic root of 66976794 is about 406.1079129456.

The spelling of 66976794 in words is "sixty-six million, nine hundred seventy-six thousand, seven hundred ninety-four".

Divisors: 1 2 3 6 9 18 27 54 81 109 162 218 327 654 981 1962 2943 3793 5886 7586 8829 11379 17658 22758 34137 68274 102411 204822 307233 413437 614466 826874 1240311 2480622 3720933 7441866 11162799 22325598 33488397 66976794