Search a number
-
+
62066116 = 227171011291
BaseRepresentation
bin1110110011000…
…0110111000100
311022210021201001
43230300313010
5111342103431
610054143044
71352360530
oct354606704
9138707631
1062066116
1132042212
1218951a84
13cb21518
148358bc0
1556aee61
hex3b30dc4

62066116 has 48 divisors (see below), whose sum is σ = 132838272. Its totient is φ = 24768000.

The previous prime is 62066111. The next prime is 62066153. The reversal of 62066116 is 61166026.

62066116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (62066111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47431 + ... + 48721.

It is an arithmetic number, because the mean of its divisors is an integer number (2767464).

Almost surely, 262066116 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 62066116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66419136).

62066116 is an abundant number, since it is smaller than the sum of its proper divisors (70772156).

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

62066116 is a wasteful number, since it uses less digits than its factorization.

62066116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1420 (or 1418 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 62066116 is about 7878.2051255346. The cubic root of 62066116 is about 395.9297991397.

The spelling of 62066116 in words is "sixty-two million, sixty-six thousand, one hundred sixteen".

Divisors: 1 2 4 7 14 17 28 34 68 101 119 202 238 404 476 707 1291 1414 1717 2582 2828 3434 5164 6868 9037 12019 18074 21947 24038 36148 43894 48076 87788 130391 153629 260782 307258 521564 614516 912737 1825474 2216647 3650948 4433294 8866588 15516529 31033058 62066116