Search a number
-
+
62666142 = 2371131959
BaseRepresentation
bin1110111100001…
…1010110011110
311100220202210020
43233003112132
5112020304032
610115053010
71360440060
oct357032636
9140822706
1062666142
1132412000
1218ba1166
13cca1676
148473730
15577cb2c
hex3bc359e

62666142 has 128 divisors (see below), whose sum is σ = 168652800. Its totient is φ = 15158880.

The previous prime is 62666141. The next prime is 62666147. The reversal of 62666142 is 24166626.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (62666141) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1062109 + ... + 1062167.

It is an arithmetic number, because the mean of its divisors is an integer number (1317600).

Almost surely, 262666142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 62666142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84326400).

62666142 is an abundant number, since it is smaller than the sum of its proper divisors (105986658).

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

62666142 is a wasteful number, since it uses less digits than its factorization.

62666142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 101 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 62666142 is about 7916.1949192778. The cubic root of 62666142 is about 397.2015971759.

The spelling of 62666142 in words is "sixty-two million, six hundred sixty-six thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 11 14 19 21 22 33 38 42 57 59 66 77 114 118 121 133 154 177 209 231 242 266 354 363 399 413 418 462 627 649 726 798 826 847 1121 1239 1254 1298 1331 1463 1694 1947 2242 2299 2478 2541 2662 2926 3363 3894 3993 4389 4543 4598 5082 6726 6897 7139 7847 7986 8778 9086 9317 12331 13629 13794 14278 15694 16093 18634 21417 23541 24662 25289 27258 27951 32186 36993 42834 47082 48279 49973 50578 55902 73986 75867 78529 86317 96558 99946 135641 149919 151734 157058 172634 177023 235587 258951 271282 299838 354046 406923 471174 517902 531069 549703 813846 949487 1062138 1099406 1492051 1649109 1898974 2848461 2984102 3298218 4476153 5696922 8952306 10444357 20888714 31333071 62666142