Search a number
-
+
66000975 = 3521018713
BaseRepresentation
bin1111101111000…
…1100001001111
311121012012022120
43323301201033
5113344012400
610314344023
71430666445
oct373614117
9147165276
1066000975
113428a567
121a12b013
131089b541
148aa0b95
155bdaca0
hex3ef184f

66000975 has 24 divisors (see below), whose sum is σ = 110214672. Its totient is φ = 34848000.

The previous prime is 66000973. The next prime is 66000989. The reversal of 66000975 is 57900066.

It is not a de Polignac number, because 66000975 - 21 = 66000973 is a prime.

It is a super-2 number, since 2×660009752 = 8712257401901250, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66000971) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3219 + ... + 11931.

It is an arithmetic number, because the mean of its divisors is an integer number (4592278).

Almost surely, 266000975 is an apocalyptic number.

66000975 is a deficient number, since it is larger than the sum of its proper divisors (44213697).

66000975 is a wasteful number, since it uses less digits than its factorization.

66000975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8827 (or 8822 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 66000975 is about 8124.0984115162. The cubic root of 66000975 is about 404.1259920570.

The spelling of 66000975 in words is "sixty-six million, nine hundred seventy-five", and thus it is an aban number.

Divisors: 1 3 5 15 25 75 101 303 505 1515 2525 7575 8713 26139 43565 130695 217825 653475 880013 2640039 4400065 13200195 22000325 66000975