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130593320 = 235111317279
BaseRepresentation
bin1111100100010…
…11001000101000
3100002201211100122
413302023020220
5231412441240
620543022412
73144011354
oct762131050
9302654318
10130593320
1167797770
123789aa08
1321095870
14134b6464
15b6e94b5
hex7c8b228

130593320 has 192 divisors, whose sum is σ = 371347200. Its totient is φ = 40734720.

The previous prime is 130593311. The next prime is 130593329. The reversal of 130593320 is 23395031.

It is an interprime number because it is at equal distance from previous prime (130593311) and next prime (130593329).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 130593320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130593329) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1653041 + ... + 1653119.

It is an arithmetic number, because the mean of its divisors is an integer number (1934100).

Almost surely, 2130593320 is an apocalyptic number.

130593320 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 130593320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185673600).

130593320 is an abundant number, since it is smaller than the sum of its proper divisors (240753880).

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

130593320 is a wasteful number, since it uses less digits than its factorization.

130593320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 26.

The square root of 130593320 is about 11427.7434342918. The cubic root of 130593320 is about 507.3492090044.

The spelling of 130593320 in words is "one hundred thirty million, five hundred ninety-three thousand, three hundred twenty".