Search a number
-
+
130740468 = 22329438737
BaseRepresentation
bin1111100101011…
…11000011110100
3100010000022012120
413302233003310
5231432143333
620550115540
73145163355
oct762570364
9303008176
10130740468
1167888281
123794bbb0
1321117831
1413513d2c
15b727db3
hex7caf0f4

130740468 has 48 divisors (see below), whose sum is σ = 322956480. Its totient is φ = 41094144.

The previous prime is 130740457. The next prime is 130740469. The reversal of 130740468 is 864047031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130740469) 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, 10596 + ... + 19332.

It is an arithmetic number, because the mean of its divisors is an integer number (6728260).

Almost surely, 2130740468 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 130740468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161478240).

130740468 is an abundant number, since it is smaller than the sum of its proper divisors (192216012).

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

130740468 is a wasteful number, since it uses less digits than its factorization.

130740468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8816 (or 8814 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 130740468 is about 11434.1798131742. The cubic root of 130740468 is about 507.5396919460.

Adding to 130740468 its reverse (864047031), we get a palindrome (994787499).

The spelling of 130740468 in words is "one hundred thirty million, seven hundred forty thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 12 29 43 58 86 87 116 129 172 174 258 348 516 1247 2494 3741 4988 7482 8737 14964 17474 26211 34948 52422 104844 253373 375691 506746 751382 760119 1013492 1127073 1502764 1520238 2254146 3040476 4508292 10895039 21790078 32685117 43580156 65370234 130740468