Search a number
-
+
130031140 = 22543473217
BaseRepresentation
bin1111100000000…
…01111000100100
3100001200021012011
413300001320210
5231241444030
620523004004
73136150351
oct760017044
9301607164
10130031140
1167443358
1237669604
1320c29a05
14133ab628
15b637b2a
hex7c01e24

130031140 has 48 divisors (see below), whose sum is σ = 285449472. Its totient is φ = 49706496.

The previous prime is 130031129. The next prime is 130031141. The reversal of 130031140 is 41130031.

It is a self number, because there is not a number n which added to its sum of digits gives 130031140.

It is not an unprimeable number, because it can be changed into a prime (130031141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38812 + ... + 42028.

It is an arithmetic number, because the mean of its divisors is an integer number (5946864).

Almost surely, 2130031140 is an apocalyptic number.

130031140 is a gapful number since it is divisible by the number (10) 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 130031140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142724736).

130031140 is an abundant number, since it is smaller than the sum of its proper divisors (155418332).

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

130031140 is a wasteful number, since it uses less digits than its factorization.

130031140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3316 (or 3314 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 130031140 is about 11403.1197485600. The cubic root of 130031140 is about 506.6201471217.

Adding to 130031140 its reverse (41130031), we get a palindrome (171161171).

The spelling of 130031140 in words is "one hundred thirty million, thirty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 43 47 86 94 172 188 215 235 430 470 860 940 2021 3217 4042 6434 8084 10105 12868 16085 20210 32170 40420 64340 138331 151199 276662 302398 553324 604796 691655 755995 1383310 1511990 2766620 3023980 6501557 13003114 26006228 32507785 65015570 130031140