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130558032 = 243211259127
BaseRepresentation
bin1111100100000…
…10100001010000
3100002200000221200
413302002201100
5231410324112
620542151200
73143503443
oct762024120
9302600850
10130558032
1167773200
1237882500
1321082797
14134a765a
15b6ddcdc
hex7c82850

130558032 has 180 divisors, whose sum is σ = 411640320. Its totient is φ = 38586240.

The previous prime is 130558013. The next prime is 130558037. The reversal of 130558032 is 230855031.

It is a junction number, because it is equal to n+sod(n) for n = 130557987 and 130558005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130558037) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1027953 + ... + 1028079.

Almost surely, 2130558032 is an apocalyptic number.

130558032 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 130558032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205820160).

130558032 is an abundant number, since it is smaller than the sum of its proper divisors (281082288).

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

130558032 is a wasteful number, since it uses less digits than its factorization.

130558032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 130558032 is about 11426.1993681189. The cubic root of 130558032 is about 507.3035074537.

The spelling of 130558032 in words is "one hundred thirty million, five hundred fifty-eight thousand, thirty-two".