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130442052 = 223137111777
BaseRepresentation
bin1111100011001…
…10001101000100
3100002110010212010
413301212031010
5231343121202
620535454220
73142511346
oct761461504
9302403763
10130442052
11676a4054
1237827370
1321041a60
1413477296
15b6b976c
hex7c66344

130442052 has 48 divisors (see below), whose sum is σ = 332422272. Its totient is φ = 39567360.

The previous prime is 130442041. The next prime is 130442069. The reversal of 130442052 is 250244031.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5188 + ... + 16964.

It is an arithmetic number, because the mean of its divisors is an integer number (6925464).

Almost surely, 2130442052 is an apocalyptic number.

130442052 is a gapful number since it is divisible by the number (12) 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 130442052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166211136).

130442052 is an abundant number, since it is smaller than the sum of its proper divisors (201980220).

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

130442052 is a wasteful number, since it uses less digits than its factorization.

130442052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11868 (or 11866 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 130442052 is about 11421.1230621161. The cubic root of 130442052 is about 507.1532435163.

Adding to 130442052 its reverse (250244031), we get a palindrome (380686083).

The spelling of 130442052 in words is "one hundred thirty million, four hundred forty-two thousand, fifty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 71 78 142 156 213 284 426 852 923 1846 2769 3692 5538 11076 11777 23554 35331 47108 70662 141324 153101 306202 459303 612404 836167 918606 1672334 1837212 2508501 3344668 5017002 10034004 10870171 21740342 32610513 43480684 65221026 130442052