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98130528 = 2534172131
BaseRepresentation
bin1011101100101…
…01101001100000
320211122112210000
411312111221200
5200110134103
613423140000
72301044556
oct566255140
9224575700
1098130528
1150434a11
1228a44600
131743a902
14d065bd6
158935aa3
hex5d95a60

98130528 has 180 divisors, whose sum is σ = 308914452. Its totient is φ = 30551040.

The previous prime is 98130523. The next prime is 98130547. The reversal of 98130528 is 82503189.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 98130492 and 98130501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98130523) by changing a digit.

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 29 ways as a sum of consecutive naturals, for example, 749023 + ... + 749153.

Almost surely, 298130528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98130528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154457226).

98130528 is an abundant number, since it is smaller than the sum of its proper divisors (210783924).

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

98130528 is a wasteful number, since it uses less digits than its factorization.

98130528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 98130528 is about 9906.0854024181. The cubic root of 98130528 is about 461.2482292218.

The spelling of 98130528 in words is "ninety-eight million, one hundred thirty thousand, five hundred twenty-eight".