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66986960 = 2456311327
BaseRepresentation
bin1111111110001…
…0001111010000
311200001021211112
43333202033100
5114122040320
610351432452
71442244155
oct377421720
9150037745
1066986960
11348a3327
121a525728
1310b55271
148c7a22c
155d32ec5
hex3fe23d0

66986960 has 40 divisors (see below), whose sum is σ = 156109056. Its totient is φ = 26732160.

The previous prime is 66986929. The next prime is 66986963. The reversal of 66986960 is 6968966.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 66986899 and 66986908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66986963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49817 + ... + 51143.

Almost surely, 266986960 is an apocalyptic number.

It is an amenable number.

66986960 is an abundant number, since it is smaller than the sum of its proper divisors (89122096).

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

66986960 is a wasteful number, since it uses less digits than its factorization.

66986960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1971 (or 1965 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 50.

The square root of 66986960 is about 8184.5561883342. The cubic root of 66986960 is about 406.1284587891.

The spelling of 66986960 in words is "sixty-six million, nine hundred eighty-six thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 631 1262 1327 2524 2654 3155 5048 5308 6310 6635 10096 10616 12620 13270 21232 25240 26540 50480 53080 106160 837337 1674674 3349348 4186685 6698696 8373370 13397392 16746740 33493480 66986960