Base | Representation |
---|---|
bin | 1011101100001… |
… | …01001100100000 |
3 | 20211112010100000 |
4 | 11312011030200 |
5 | 200101010021 |
6 | 13421500000 |
7 | 2300344233 |
oct | 566051440 |
9 | 224463300 |
10 | 98063136 |
11 | 50399316 |
12 | 28a11600 |
13 | 17416032 |
14 | d04941a |
15 | 8920b26 |
hex | 5d85320 |
98063136 has 72 divisors (see below), whose sum is σ = 289218384. Its totient is φ = 32685120.
The previous prime is 98063129. The next prime is 98063153. The reversal of 98063136 is 63136089.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (72).
It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 98063136.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1471 + ... + 14081.
It is an arithmetic number, because the mean of its divisors is an integer number (4016922).
Almost surely, 298063136 is an apocalyptic number.
98063136 is a gapful number since it is divisible by the number (96) 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 98063136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144609192).
98063136 is an abundant number, since it is smaller than the sum of its proper divisors (191155248).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
98063136 is a wasteful number, since it uses less digits than its factorization.
98063136 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 12636 (or 12616 counting only the distinct ones).
The product of its (nonzero) digits is 23328, while the sum is 36.
The square root of 98063136 is about 9902.6832727297. The cubic root of 98063136 is about 461.1426162869.
The spelling of 98063136 in words is "ninety-eight million, sixty-three thousand, one hundred thirty-six".
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