Search a number
-
+
59033106 = 23211397751
BaseRepresentation
bin1110000100110…
…0011000010010
311010002012012100
43201030120102
5110103024411
65505141230
71314526116
oct341143022
9133065170
1059033106
11303604a0
121792a816
13c2cbb42
147ba9746
1552b1456
hex384c612

59033106 has 48 divisors (see below), whose sum is σ = 140070528. Its totient is φ = 17820000.

The previous prime is 59033063. The next prime is 59033119. The reversal of 59033106 is 60133095.

It is a self number, because there is not a number n which added to its sum of digits gives 59033106.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78231 + ... + 78981.

It is an arithmetic number, because the mean of its divisors is an integer number (2918136).

Almost surely, 259033106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 59033106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70035264).

59033106 is an abundant number, since it is smaller than the sum of its proper divisors (81037422).

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

59033106 is a wasteful number, since it uses less digits than its factorization.

59033106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1167 (or 1164 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 59033106 is about 7683.3004626918. The cubic root of 59033106 is about 389.3724424014.

It can be divided in two parts, 5903 and 3106, that added together give a palindrome (9009).

The spelling of 59033106 in words is "fifty-nine million, thirty-three thousand, one hundred six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 397 751 794 1191 1502 2253 2382 3573 4367 4506 6759 7146 8261 8734 13101 13518 16522 24783 26202 39303 49566 74349 78606 148698 298147 596294 894441 1788882 2683323 3279617 5366646 6559234 9838851 19677702 29516553 59033106