Search a number
-
+
130141232 = 24131374567
BaseRepresentation
bin1111100000111…
…00110000110000
3100001212212012122
413300130300300
5231304004412
620525213412
73140116334
oct760346060
9301785178
10130141232
1167509041
1237701268
1320c67b60
14133d97c4
15b65a572
hex7c1cc30

130141232 has 40 divisors (see below), whose sum is σ = 273586656. Its totient is φ = 59613696.

The previous prime is 130141217. The next prime is 130141237. The reversal of 130141232 is 232141031.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 130141232.

It is not an unprimeable number, because it can be changed into a prime (130141237) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26213 + ... + 30779.

Almost surely, 2130141232 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 130141232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136793328).

130141232 is an abundant number, since it is smaller than the sum of its proper divisors (143445424).

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

130141232 is a wasteful number, since it uses less digits than its factorization.

130141232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4725 (or 4719 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 130141232 is about 11407.9460026773. The cubic root of 130141232 is about 506.7630849131.

Adding to 130141232 its reverse (232141031), we get a palindrome (362282263).

The spelling of 130141232 in words is "one hundred thirty million, one hundred forty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 52 104 137 208 274 548 1096 1781 2192 3562 4567 7124 9134 14248 18268 28496 36536 59371 73072 118742 237484 474968 625679 949936 1251358 2502716 5005432 8133827 10010864 16267654 32535308 65070616 130141232