Search a number
-
+
130144112 = 24717292357
BaseRepresentation
bin1111100000111…
…01011101110000
3100001220000011022
413300131131300
5231304102422
620525235012
73140130620
oct760353560
9301800138
10130144112
116751021a
1237702a68
1320c69267
14133da880
15b65b342
hex7c1d770

130144112 has 80 divisors (see below), whose sum is σ = 315783360. Its totient is φ = 50663424.

The previous prime is 130144111. The next prime is 130144117. The reversal of 130144112 is 211441031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130144111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54038 + ... + 56394.

It is an arithmetic number, because the mean of its divisors is an integer number (3947292).

Almost surely, 2130144112 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 130144112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157891680).

130144112 is an abundant number, since it is smaller than the sum of its proper divisors (185639248).

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

130144112 is a wasteful number, since it uses less digits than its factorization.

130144112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2418 (or 2412 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 130144112 is about 11408.0722297854. The cubic root of 130144112 is about 506.7668230748.

Adding to 130144112 its reverse (211441031), we get a palindrome (341585143).

The spelling of 130144112 in words is "one hundred thirty million, one hundred forty-four thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 17 28 29 34 56 58 68 112 116 119 136 203 232 238 272 406 464 476 493 812 952 986 1624 1904 1972 2357 3248 3451 3944 4714 6902 7888 9428 13804 16499 18856 27608 32998 37712 40069 55216 65996 68353 80138 131992 136706 160276 263984 273412 280483 320552 478471 546824 560966 641104 956942 1093648 1121932 1162001 1913884 2243864 2324002 3827768 4487728 4648004 7655536 8134007 9296008 16268014 18592016 32536028 65072056 130144112