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66018072 = 23317435371
BaseRepresentation
bin1111101111010…
…1101100011000
311121020001202210
43323311230120
5113400034242
610314555120
71431100341
oct373655430
9147201683
1066018072
11342a139a
121a138aa0
13108a6263
148aa70c8
155be0d9c
hex3ef5b18

66018072 has 128 divisors (see below), whose sum is σ = 184757760. Its totient is φ = 19568640.

The previous prime is 66018067. The next prime is 66018079. The reversal of 66018072 is 27081066.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66018079) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 929797 + ... + 929867.

It is an arithmetic number, because the mean of its divisors is an integer number (1443420).

Almost surely, 266018072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66018072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92378880).

66018072 is an abundant number, since it is smaller than the sum of its proper divisors (118739688).

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

66018072 is a wasteful number, since it uses less digits than its factorization.

66018072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 66018072 is about 8125.1505832200. The cubic root of 66018072 is about 404.1608841959.

The spelling of 66018072 in words is "sixty-six million, eighteen thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 43 51 53 68 71 86 102 106 129 136 142 159 172 204 212 213 258 284 318 344 408 424 426 516 568 636 731 852 901 1032 1207 1272 1462 1704 1802 2193 2279 2414 2703 2924 3053 3604 3621 3763 4386 4558 4828 5406 5848 6106 6837 7208 7242 7526 8772 9116 9159 9656 10812 11289 12212 13674 14484 15052 17544 18232 18318 21624 22578 24424 27348 28968 30104 36636 38743 45156 51901 54696 63971 73272 77486 90312 103802 116229 127942 154972 155703 161809 191913 207604 232458 255884 309944 311406 323618 383826 415208 464916 485427 511768 622812 647236 767652 929832 970854 1245624 1294472 1535304 1941708 2750753 3883416 5501506 8252259 11003012 16504518 22006024 33009036 66018072