Search a number
-
+
130225410 = 23257972131
BaseRepresentation
bin1111100001100…
…01010100000010
3100002001010200100
413300301110002
5231314203120
620531103230
73140616630
oct760612402
9302033610
10130225410
1167566307
1237741b16
1320c97273
141341c350
15b675490
hex7c31502

130225410 has 96 divisors (see below), whose sum is σ = 391128192. Its totient is φ = 29445120.

The previous prime is 130225393. The next prime is 130225429. The reversal of 130225410 is 14522031.

130225410 is a `hidden beast` number, since 1 + 30 + 225 + 410 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 60045 + ... + 62175.

It is an arithmetic number, because the mean of its divisors is an integer number (4074252).

Almost surely, 2130225410 is an apocalyptic number.

130225410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 130225410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195564096).

130225410 is an abundant number, since it is smaller than the sum of its proper divisors (260902782).

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

130225410 is a wasteful number, since it uses less digits than its factorization.

130225410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2248 (or 2245 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 130225410 is about 11411.6348522024. The cubic root of 130225410 is about 506.8723229262.

Adding to 130225410 its reverse (14522031), we get a palindrome (144747441).

The spelling of 130225410 in words is "one hundred thirty million, two hundred twenty-five thousand, four hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 97 105 126 194 210 291 315 485 582 630 679 873 970 1358 1455 1746 2037 2131 2910 3395 4074 4262 4365 6111 6393 6790 8730 10185 10655 12222 12786 14917 19179 20370 21310 29834 30555 31965 38358 44751 61110 63930 74585 89502 95895 134253 149170 191790 206707 223755 268506 413414 447510 620121 671265 1033535 1240242 1342530 1446949 1860363 2067070 2893898 3100605 3720726 4340847 6201210 7234745 8681694 9301815 13022541 14469490 18603630 21704235 26045082 43408470 65112705 130225410