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130420352 = 272334373
BaseRepresentation
bin1111100011000…
…00111010000000
3100002102001002102
413301200322000
5231341422402
620535205532
73142361156
oct761407200
9302361072
10130420352
1167689817
12378168a8
1321034c0a
141346d3d6
15b6b3102
hex7c60e80

130420352 has 32 divisors (see below), whose sum is σ = 260996580. Its totient is φ = 64915456.

The previous prime is 130420321. The next prime is 130420357. The reversal of 130420352 is 253024031.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 128504896 + 1915456 = 11336^2 + 1384^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (130420357) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 27638 + ... + 32010.

Almost surely, 2130420352 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 130420352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130498290).

130420352 is an abundant number, since it is smaller than the sum of its proper divisors (130576228).

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

130420352 is an equidigital number, since it uses as much as digits as its factorization.

130420352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4620 (or 4608 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 130420352 is about 11420.1730284615. The cubic root of 130420352 is about 507.1251190592.

Adding to 130420352 its reverse (253024031), we get a palindrome (383444383).

The spelling of 130420352 in words is "one hundred thirty million, four hundred twenty thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 128 233 466 932 1864 3728 4373 7456 8746 14912 17492 29824 34984 69968 139936 279872 559744 1018909 2037818 4075636 8151272 16302544 32605088 65210176 130420352