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98199360 = 2632574871
BaseRepresentation
bin1011101101001…
…10011101000000
320211210001012100
411312212131000
5200114334420
613424430400
72301452340
oct566463500
9224701170
1098199360
11504816a6
1228a78400
131746303c
14d082d20
15894b190
hex5da6740

98199360 has 168 divisors, whose sum is σ = 386096256. Its totient is φ = 22440960.

The previous prime is 98199349. The next prime is 98199379. The reversal of 98199360 is 6399189.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×981993602 = 19286228608819200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 17725 + ... + 22595.

It is an arithmetic number, because the mean of its divisors is an integer number (2298192).

Almost surely, 298199360 is an apocalyptic number.

98199360 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 98199360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193048128).

98199360 is an abundant number, since it is smaller than the sum of its proper divisors (287896896).

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

98199360 is a wasteful number, since it uses less digits than its factorization.

98199360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4901 (or 4888 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The square root of 98199360 is about 9909.5590214701. The cubic root of 98199360 is about 461.3560489407.

The spelling of 98199360 in words is "ninety-eight million, one hundred ninety-nine thousand, three hundred sixty".