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98743140 = 223251723261
BaseRepresentation
bin1011110001010…
…11001101100100
320212210200010100
411320223031210
5200234240030
613444224100
72306205606
oct570531544
9225720110
1098743140
1150813201
122909b030
13175c36c2
14d185176
158a07360
hex5e2b364

98743140 has 216 divisors, whose sum is σ = 336962808. Its totient is φ = 23316480.

The previous prime is 98743111. The next prime is 98743159. The reversal of 98743140 is 4134789.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2742336 + 96000804 = 1656^2 + 9798^2 .

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 = 98743095 and 98743104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1618710 + ... + 1618770.

It is an arithmetic number, because the mean of its divisors is an integer number (1560013).

Almost surely, 298743140 is an apocalyptic number.

98743140 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 98743140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168481404).

98743140 is an abundant number, since it is smaller than the sum of its proper divisors (238219668).

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

98743140 is a wasteful number, since it uses less digits than its factorization.

98743140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 98743140 is about 9936.9582871219. The cubic root of 98743140 is about 462.2060698748.

The spelling of 98743140 in words is "ninety-eight million, seven hundred forty-three thousand, one hundred forty".