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66694860 = 223351131093
BaseRepresentation
bin1111111001101…
…0111011001100
311122111110011000
43332122323030
5114033213420
610341300300
71436616441
oct376327314
9148443130
1066694860
1134713921
121a404690
1310a8231b
148c019c8
155cc6690
hex3f9aecc

66694860 has 96 divisors (see below), whose sum is σ = 209522880. Its totient is φ = 17611776.

The previous prime is 66694847. The next prime is 66694861. The reversal of 66694860 is 6849666.

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

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66694861) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 60474 + ... + 61566.

It is an arithmetic number, because the mean of its divisors is an integer number (2182530).

Almost surely, 266694860 is an apocalyptic number.

66694860 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 66694860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104761440).

66694860 is an abundant number, since it is smaller than the sum of its proper divisors (142828020).

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

66694860 is a wasteful number, since it uses less digits than its factorization.

66694860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1224 (or 1216 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 66694860 is about 8166.6921088039. The cubic root of 66694860 is about 405.5372841653.

The spelling of 66694860 in words is "sixty-six million, six hundred ninety-four thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 113 135 180 226 270 339 452 540 565 678 1017 1093 1130 1356 1695 2034 2186 2260 3051 3279 3390 4068 4372 5085 5465 6102 6558 6780 9837 10170 10930 12204 13116 15255 16395 19674 20340 21860 29511 30510 32790 39348 49185 59022 61020 65580 98370 118044 123509 147555 196740 247018 295110 370527 494036 590220 617545 741054 1111581 1235090 1482108 1852635 2223162 2470180 3334743 3705270 4446324 5557905 6669486 7410540 11115810 13338972 16673715 22231620 33347430 66694860