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130022928 = 24337193173
BaseRepresentation
bin1111011111111…
…11111000010000
3100001122211221000
413233333320100
5231241213203
620522502000
73136114410
oct757777020
9301584830
10130022928
1167438172
1237664900
1320c26059
14133a8640
15b6354a3
hex7bffe10

130022928 has 320 divisors, whose sum is σ = 469811200. Its totient is φ = 33592320.

The previous prime is 130022917. The next prime is 130022941. The reversal of 130022928 is 829220031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1781100 + ... + 1781172.

It is an arithmetic number, because the mean of its divisors is an integer number (1468160).

Almost surely, 2130022928 is an apocalyptic number.

130022928 is a gapful number since it is divisible by the number (18) 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 130022928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234905600).

130022928 is an abundant number, since it is smaller than the sum of its proper divisors (339788272).

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

130022928 is a wasteful number, since it uses less digits than its factorization.

130022928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 130022928 is about 11402.7596659756. The cubic root of 130022928 is about 506.6094818502.

Adding to 130022928 its reverse (829220031), we get a palindrome (959242959).

The spelling of 130022928 in words is "one hundred thirty million, twenty-two thousand, nine hundred twenty-eight".