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66069270 = 23851953
BaseRepresentation
bin1111110000001…
…0001100010110
311121022200000000
43330002030112
5113403204040
610320032130
71431402531
oct374021426
9147280000
1066069270
1134326903
121a162646
13108c3657
148abba18
155c01130
hex3f02316

66069270 has 144 divisors (see below), whose sum is σ = 191309040. Its totient is φ = 16376256.

The previous prime is 66069253. The next prime is 66069287. The reversal of 66069270 is 7296066.

It is an interprime number because it is at equal distance from previous prime (66069253) and next prime (66069287).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1246564 + ... + 1246616.

It is an arithmetic number, because the mean of its divisors is an integer number (1328535).

Almost surely, 266069270 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66069270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95654520).

66069270 is an abundant number, since it is smaller than the sum of its proper divisors (125239770).

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

66069270 is an equidigital number, since it uses as much as digits as its factorization.

66069270 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 66069270 is about 8128.3005603878. The cubic root of 66069270 is about 404.2653347985.

It can be divided in two parts, 6606 and 9270, that added together give a square (15876 = 1262).

The spelling of 66069270 in words is "sixty-six million, sixty-nine thousand, two hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 53 54 57 81 90 95 106 114 135 159 162 171 190 243 265 270 285 318 342 405 477 486 513 530 570 729 795 810 855 954 1007 1026 1215 1431 1458 1539 1590 1710 2014 2187 2385 2430 2565 2862 3021 3078 3645 4293 4374 4617 4770 5035 5130 6042 6561 7155 7290 7695 8586 9063 9234 10070 10935 12879 13122 13851 14310 15105 15390 18126 21465 21870 23085 25758 27189 27702 30210 32805 38637 41553 42930 45315 46170 54378 64395 65610 69255 77274 81567 83106 90630 115911 124659 128790 135945 138510 163134 193185 207765 231822 244701 249318 271890 347733 386370 407835 415530 489402 579555 623295 695466 734103 815670 1159110 1223505 1246590 1468206 1738665 2202309 2447010 3477330 3670515 4404618 6606927 7341030 11011545 13213854 22023090 33034635 66069270