Search a number
-
+
130414340 = 22576115271
BaseRepresentation
bin1111100010111…
…11011100000100
3100002101201211202
413301133130010
5231341224330
620535122032
73142334510
oct761373404
9302351752
10130414340
1167685251
1237813318
1321032264
141346b140
15b6b1445
hex7c5f704

130414340 has 48 divisors (see below), whose sum is σ = 318146304. Its totient is φ = 43977600.

The previous prime is 130414337. The next prime is 130414343. The reversal of 130414340 is 43414031.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (130414337) and next prime (130414343).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (130414343) 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, 905 + ... + 16175.

It is an arithmetic number, because the mean of its divisors is an integer number (6628048).

Almost surely, 2130414340 is an apocalyptic number.

130414340 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 130414340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159073152).

130414340 is an abundant number, since it is smaller than the sum of its proper divisors (187731964).

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

130414340 is a wasteful number, since it uses less digits than its factorization.

130414340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15348 (or 15346 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 130414340 is about 11419.9098069994. The cubic root of 130414340 is about 507.1173266070.

Adding to 130414340 its reverse (43414031), we get a palindrome (173828371).

The spelling of 130414340 in words is "one hundred thirty million, four hundred fourteen thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 61 70 122 140 244 305 427 610 854 1220 1708 2135 4270 8540 15271 30542 61084 76355 106897 152710 213794 305420 427588 534485 931531 1068970 1863062 2137940 3726124 4657655 6520717 9315310 13041434 18630620 26082868 32603585 65207170 130414340