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66970980 = 22325372061
BaseRepresentation
bin1111111101111…
…0010101100100
311200000110220200
43333132111210
5114121032410
610351230500
71442146446
oct377362544
9150013820
1066970980
113489231a
121a518430
1310b4abcb
148c74496
155d2d3c0
hex3fde564

66970980 has 36 divisors (see below), whose sum is σ = 203145852. Its totient is φ = 17858880.

The previous prime is 66970961. The next prime is 66971053. The reversal of 66970980 is 8907966.

It can be written as a sum of positive squares in 2 ways, for example, as 10810944 + 56160036 = 3288^2 + 7494^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×669709802 = 8970224324320800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 185851 + ... + 186210.

Almost surely, 266970980 is an apocalyptic number.

66970980 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66970980 is an abundant number, since it is smaller than the sum of its proper divisors (136174872).

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

66970980 is a wasteful number, since it uses less digits than its factorization.

66970980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372076 (or 372071 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 66970980 is about 8183.5799012413. The cubic root of 66970980 is about 406.0961617126.

The spelling of 66970980 in words is "sixty-six million, nine hundred seventy thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 372061 744122 1116183 1488244 1860305 2232366 3348549 3720610 4464732 5580915 6697098 7441220 11161830 13394196 16742745 22323660 33485490 66970980