Base | Representation |
---|---|
bin | 1011101111001… |
… | …10011100000000 |
3 | 20212021100201000 |
4 | 11313212130000 |
5 | 200201231230 |
6 | 13434212000 |
7 | 2303623410 |
oct | 567463400 |
9 | 225240630 |
10 | 98461440 |
11 | 506405a0 |
12 | 28b84000 |
13 | 1752540c |
14 | d110640 |
15 | 899db60 |
hex | 5de6700 |
98461440 has 576 divisors, whose sum is σ = 447390720. Its totient is φ = 19906560.
The previous prime is 98461427. The next prime is 98461453. The reversal of 98461440 is 4416489.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (98461427) and next prime (98461453).
It is a tau number, because it is divible by the number of its divisors (576).
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 = 98461395 and 98461404.
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 63 ways as a sum of consecutive naturals, for example, 2661102 + ... + 2661138.
It is an arithmetic number, because the mean of its divisors is an integer number (776720).
Almost surely, 298461440 is an apocalyptic number.
98461440 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 98461440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223695360).
98461440 is an abundant number, since it is smaller than the sum of its proper divisors (348929280).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
98461440 is a wasteful number, since it uses less digits than its factorization.
98461440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 85 (or 65 counting only the distinct ones).
The product of its (nonzero) digits is 27648, while the sum is 36.
The square root of 98461440 is about 9922.7738057461. The cubic root of 98461440 is about 461.7661153836.
The spelling of 98461440 in words is "ninety-eight million, four hundred sixty-one thousand, four hundred forty".
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