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98097120 = 25325112563
BaseRepresentation
bin1011101100011…
…01011111100000
320211120211221200
411312031133200
5200103101440
613422321200
72300545302
oct566153740
9224524850
1098097120
1150411900
1228a29200
1317428644
14d057972
15892ac30
hex5d8d7e0

98097120 has 216 divisors, whose sum is σ = 368608968. Its totient is φ = 23738880.

The previous prime is 98097073. The next prime is 98097121. The reversal of 98097120 is 2179089.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98097121) 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, 173959 + ... + 174521.

It is an arithmetic number, because the mean of its divisors is an integer number (1706523).

Almost surely, 298097120 is an apocalyptic number.

98097120 is a gapful number since it is divisible by the number (90) 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 98097120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184304484).

98097120 is an abundant number, since it is smaller than the sum of its proper divisors (270511848).

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

98097120 is a wasteful number, since it uses less digits than its factorization.

98097120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 98097120 is about 9904.3990226565. The cubic root of 98097120 is about 461.1958801375.

The spelling of 98097120 in words is "ninety-eight million, ninety-seven thousand, one hundred twenty".