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130452320 = 2552335449
BaseRepresentation
bin1111100011010…
…00101101100000
3100002110122221102
413301220231200
5231343433240
620540013532
73142553315
oct761505540
9302418842
10130452320
1167700839
12378312a8
132104662b
141347ad0c
15b6bc815
hex7c68b60

130452320 has 48 divisors (see below), whose sum is σ = 321602400. Its totient is φ = 49910784.

The previous prime is 130452299. The next prime is 130452341. The reversal of 130452320 is 23254031.

It is a happy number.

130452320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (130452299) and next prime (130452341).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 130452292 and 130452301.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 14045 + ... + 21404.

It is an arithmetic number, because the mean of its divisors is an integer number (6700050).

Almost surely, 2130452320 is an apocalyptic number.

130452320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130452320 is an abundant number, since it is smaller than the sum of its proper divisors (191150080).

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

130452320 is a wasteful number, since it uses less digits than its factorization.

130452320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35487 (or 35479 counting only the distinct ones).

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

The square root of 130452320 is about 11421.5725712355. The cubic root of 130452320 is about 507.1665503520.

The spelling of 130452320 in words is "one hundred thirty million, four hundred fifty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 80 92 115 160 184 230 368 460 736 920 1840 3680 35449 70898 141796 177245 283592 354490 567184 708980 815327 1134368 1417960 1630654 2835920 3261308 4076635 5671840 6522616 8153270 13045232 16306540 26090464 32613080 65226160 130452320