Search a number
-
+
130245246 = 2347910177
BaseRepresentation
bin1111100001101…
…10001001111110
3100002002010220000
413300312021332
5231320321441
620531335130
73141031515
oct760661176
9302063800
10130245246
116757a1aa
12377514a6
1320ca32c1
141342567c
15b67b2b6
hex7c3627e

130245246 has 40 divisors (see below), whose sum is σ = 295569120. Its totient is φ = 42861312.

The previous prime is 130245223. The next prime is 130245263. The reversal of 130245246 is 642542031.

130245246 is a `hidden beast` number, since 130 + 2 + 4 + 524 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7710 + ... + 17886.

It is an arithmetic number, because the mean of its divisors is an integer number (7389228).

Almost surely, 2130245246 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130245246, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147784560).

130245246 is an abundant number, since it is smaller than the sum of its proper divisors (165323874).

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

130245246 is a wasteful number, since it uses less digits than its factorization.

130245246 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10270 (or 10261 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 130245246 is about 11412.5039320913. The cubic root of 130245246 is about 506.8980573021.

Adding to 130245246 its reverse (642542031), we get a palindrome (772787277).

The spelling of 130245246 in words is "one hundred thirty million, two hundred forty-five thousand, two hundred forty-six".

Divisors: 1 2 3 6 9 18 27 54 79 81 158 162 237 474 711 1422 2133 4266 6399 10177 12798 20354 30531 61062 91593 183186 274779 549558 803983 824337 1607966 1648674 2411949 4823898 7235847 14471694 21707541 43415082 65122623 130245246