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130252320 = 25335112741
BaseRepresentation
bin1111100001101…
…11111000100000
3100002002111121000
413300313320200
5231321033240
620531432000
73141061242
oct760677040
9302074530
10130252320
1167584550
1237755600
1320ca65a3
1413428092
15b67d430
hex7c37e20

130252320 has 192 divisors, whose sum is σ = 497508480. Its totient is φ = 31564800.

The previous prime is 130252307. The next prime is 130252357. The reversal of 130252320 is 23252031.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 130252293 and 130252302.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46150 + ... + 48890.

It is an arithmetic number, because the mean of its divisors is an integer number (2591190).

Almost surely, 2130252320 is an apocalyptic number.

130252320 is a gapful number since it is divisible by the number (10) 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 130252320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248754240).

130252320 is an abundant number, since it is smaller than the sum of its proper divisors (367256160).

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

130252320 is a wasteful number, since it uses less digits than its factorization.

130252320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2776 (or 2762 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 130252320 is about 11412.8138511061. The cubic root of 130252320 is about 506.9072341743.

The spelling of 130252320 in words is "one hundred thirty million, two hundred fifty-two thousand, three hundred twenty".