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66011160 = 23351513643
BaseRepresentation
bin1111101111010…
…0000000011000
311121012201021210
43323310000120
5113344324120
610314503120
71431041235
oct373640030
9147181253
1066011160
1134297186
121a134aa0
13108a3077
148aa478c
155bddce0
hex3ef4018

66011160 has 64 divisors (see below), whose sum is σ = 199399680. Its totient is φ = 17481600.

The previous prime is 66011137. The next prime is 66011161. The reversal of 66011160 is 6111066.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66011161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16299 + ... + 19941.

It is an arithmetic number, because the mean of its divisors is an integer number (3115620).

Almost surely, 266011160 is an apocalyptic number.

66011160 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66011160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99699840).

66011160 is an abundant number, since it is smaller than the sum of its proper divisors (133388520).

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

66011160 is a wasteful number, since it uses less digits than its factorization.

66011160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3808 (or 3804 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 66011160 is about 8124.7252261230. The cubic root of 66011160 is about 404.1467786768.

The spelling of 66011160 in words is "sixty-six million, eleven thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 151 302 453 604 755 906 1208 1510 1812 2265 3020 3624 3643 4530 6040 7286 9060 10929 14572 18120 18215 21858 29144 36430 43716 54645 72860 87432 109290 145720 218580 437160 550093 1100186 1650279 2200372 2750465 3300558 4400744 5500930 6601116 8251395 11001860 13202232 16502790 22003720 33005580 66011160