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130414446 = 23217563757
BaseRepresentation
bin1111100010111…
…11011101101110
3100002101201222200
413301133131232
5231341230241
620535122330
73142335021
oct761373556
9302351880
10130414446
1167685338
12378133a6
1321032316
141346b1b8
15b6b14b6
hex7c5f76e

130414446 has 48 divisors (see below), whose sum is σ = 300113424. Its totient is φ = 40787712.

The previous prime is 130414409. The next prime is 130414483. The reversal of 130414446 is 644414031.

It is an interprime number because it is at equal distance from previous prime (130414409) and next prime (130414483).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 171900 + ... + 172656.

It is an arithmetic number, because the mean of its divisors is an integer number (6252363).

Almost surely, 2130414446 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130414446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150056712).

130414446 is an abundant number, since it is smaller than the sum of its proper divisors (169698978).

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

130414446 is a wasteful number, since it uses less digits than its factorization.

130414446 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1345 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 130414446 is about 11419.9144480158. The cubic root of 130414446 is about 507.1174640009.

Adding to 130414446 its reverse (644414031), we get a palindrome (774828477).

The spelling of 130414446 in words is "one hundred thirty million, four hundred fourteen thousand, four hundred forty-six".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 563 757 1126 1514 1689 2271 3378 4542 5067 6813 9571 10134 12869 13626 19142 25738 28713 38607 57426 77214 86139 115821 172278 231642 426191 852382 1278573 2557146 3835719 7245247 7671438 14490494 21735741 43471482 65207223 130414446