Search a number
-
+
130261068 = 22337533251
BaseRepresentation
bin1111100001110…
…10000001001100
3100002002221121000
413300322001030
5231321323233
620531540300
73141125610
oct760720114
9302087530
10130261068
1167590083
123775a690
1320caa572
141342b340
15b680d13
hex7c3a04c

130261068 has 96 divisors (see below), whose sum is σ = 393361920. Its totient is φ = 36504000.

The previous prime is 130261063. The next prime is 130261081. The reversal of 130261068 is 860162031.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (130261063) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38443 + ... + 41693.

It is an arithmetic number, because the mean of its divisors is an integer number (4097520).

Almost surely, 2130261068 is an apocalyptic number.

130261068 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130261068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196680960).

130261068 is an abundant number, since it is smaller than the sum of its proper divisors (263100852).

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

130261068 is a wasteful number, since it uses less digits than its factorization.

130261068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3324 (or 3316 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 130261068 is about 11413.1970980966. The cubic root of 130261068 is about 506.9185822133.

The spelling of 130261068 in words is "one hundred thirty million, two hundred sixty-one thousand, sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 53 54 63 84 106 108 126 159 189 212 252 318 371 378 477 636 742 756 954 1113 1431 1484 1908 2226 2862 3251 3339 4452 5724 6502 6678 9753 10017 13004 13356 19506 20034 22757 29259 39012 40068 45514 58518 68271 87777 91028 117036 136542 172303 175554 204813 273084 344606 351108 409626 516909 614439 689212 819252 1033818 1206121 1228878 1550727 2067636 2412242 2457756 3101454 3618363 4652181 4824484 6202908 7236726 9304362 10855089 14473452 18608724 21710178 32565267 43420356 65130534 130261068