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66422070 = 232511132397
BaseRepresentation
bin1111110101100…
…0010100110110
311121222120221200
43331120110312
5114001001240
610331353330
71434402231
oct375302466
9147876850
1066422070
1134547980
121a2b2846
13109b8100
148b70418
155c70930
hex3f58536

66422070 has 144 divisors (see below), whose sum is σ = 204517872. Its totient is φ = 14826240.

The previous prime is 66422063. The next prime is 66422071. The reversal of 66422070 is 7022466.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66422071) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 167112 + ... + 167508.

It is an arithmetic number, because the mean of its divisors is an integer number (1420263).

Almost surely, 266422070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66422070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102258936).

66422070 is an abundant number, since it is smaller than the sum of its proper divisors (138095802).

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

66422070 is a wasteful number, since it uses less digits than its factorization.

66422070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 66422070 is about 8149.9736195892. The cubic root of 66422070 is about 404.9836298825.

The spelling of 66422070 in words is "sixty-six million, four hundred twenty-two thousand, seventy".

Divisors: 1 2 3 5 6 9 10 11 13 15 18 22 26 30 33 39 45 55 65 66 78 90 99 110 117 130 143 165 169 195 198 234 286 330 338 390 397 429 495 507 585 715 794 845 858 990 1014 1170 1191 1287 1430 1521 1690 1859 1985 2145 2382 2535 2574 3042 3573 3718 3970 4290 4367 5070 5161 5577 5955 6435 7146 7605 8734 9295 10322 11154 11910 12870 13101 15210 15483 16731 17865 18590 21835 25805 26202 27885 30966 33462 35730 39303 43670 46449 51610 55770 56771 65505 67093 77415 78606 83655 92898 113542 131010 134186 154830 167310 170313 196515 201279 232245 283855 335465 340626 393030 402558 464490 510939 567710 603837 670930 738023 851565 1006395 1021878 1207674 1476046 1703130 2012790 2214069 2554695 3019185 3690115 4428138 5109390 6038370 6642207 7380230 11070345 13284414 22140690 33211035 66422070