Search a number
-
+
60134382 = 232711431009
BaseRepresentation
bin1110010101100…
…1001111101110
311012011010212100
43211121033232
5110343300012
65544515530
71330063620
oct345311756
9135133770
1060134382
1130a42940
121817bba6
13c5c6199
147db4c10
15542c8dc
hex39593ee

60134382 has 96 divisors (see below), whose sum is σ = 166383360. Its totient is φ = 15240960.

The previous prime is 60134381. The next prime is 60134401. The reversal of 60134382 is 28343106.

It is a happy number.

It is a super-2 number, since 2×601343822 = 7232287797043848, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60134381) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59094 + ... + 60102.

It is an arithmetic number, because the mean of its divisors is an integer number (1733160).

Almost surely, 260134382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60134382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83191680).

60134382 is an abundant number, since it is smaller than the sum of its proper divisors (106248978).

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

60134382 is a wasteful number, since it uses less digits than its factorization.

60134382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1078 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 60134382 is about 7754.6361616777. The cubic root of 60134382 is about 391.7788171568.

Adding to 60134382 its reverse (28343106), we get a palindrome (88477488).

It can be divided in two parts, 60134 and 382, that added together give a square (60516 = 2462).

The spelling of 60134382 in words is "sixty million, one hundred thirty-four thousand, three hundred eighty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 43 63 66 77 86 99 126 129 154 198 231 258 301 387 462 473 602 693 774 903 946 1009 1386 1419 1806 2018 2709 2838 3027 3311 4257 5418 6054 6622 7063 8514 9081 9933 11099 14126 18162 19866 21189 22198 29799 33297 42378 43387 59598 63567 66594 77693 86774 99891 127134 130161 155386 199782 233079 260322 303709 390483 466158 477257 607418 699237 780966 911127 954514 1398474 1431771 1822254 2733381 2863542 3340799 4295313 5466762 6681598 8590626 10022397 20044794 30067191 60134382