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66980736 = 273319381
BaseRepresentation
bin1111111110000…
…0101110000000
311200000222022000
43333200232000
5114121340421
610351344000
71442220054
oct377405600
9150028260
1066980736
1134899689
121a522000
1310b52494
148c77c64
155d31226
hex3fe0b80

66980736 has 64 divisors (see below), whose sum is σ = 197696400. Its totient is φ = 22325760.

The previous prime is 66980717. The next prime is 66980737. The reversal of 66980736 is 63708966.

66980736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 66980691 and 66980700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66980737) 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, 6235 + ... + 13146.

Almost surely, 266980736 is an apocalyptic number.

It is an amenable number.

66980736 is an abundant number, since it is smaller than the sum of its proper divisors (130715664).

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

66980736 is a wasteful number, since it uses less digits than its factorization.

66980736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19404 (or 19386 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 66980736 is about 8184.1759511878. The cubic root of 66980736 is about 406.1158801130.

The spelling of 66980736 in words is "sixty-six million, nine hundred eighty thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 19381 38762 58143 77524 116286 155048 174429 232572 310096 348858 465144 523287 620192 697716 930288 1046574 1240384 1395432 1860576 2093148 2480768 2790864 3721152 4186296 5581728 7442304 8372592 11163456 16745184 22326912 33490368 66980736