Base | Representation |
---|---|
bin | 100000101111101… |
… | …0000101101100000 |
3 | 2211120102110012100 |
4 | 1001133100231200 |
5 | 4222232321302 |
6 | 301005130400 |
7 | 36140625450 |
oct | 10137205540 |
9 | 2746373170 |
10 | 1098713952 |
11 | 514217066 |
12 | 267b59a00 |
13 | 1468204cb |
14 | a5cc5d60 |
15 | 666ced1c |
hex | 417d0b60 |
1098713952 has 144 divisors (see below), whose sum is σ = 3694148640. Its totient is φ = 303077376.
The previous prime is 1098713921. The next prime is 1098713977. The reversal of 1098713952 is 2593178901.
It is a tau number, because it is divible by the number of its divisors (144).
It is a junction number, because it is equal to n+sod(n) for n = 1098713898 and 1098713907.
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, 49068 + ... + 67860.
It is an arithmetic number, because the mean of its divisors is an integer number (25653810).
Almost surely, 21098713952 is an apocalyptic number.
1098713952 is a gapful number since it is divisible by the number (12) 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 1098713952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1847074320).
1098713952 is an abundant number, since it is smaller than the sum of its proper divisors (2595434688).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1098713952 is a wasteful number, since it uses less digits than its factorization.
1098713952 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 18845 (or 18834 counting only the distinct ones).
The product of its (nonzero) digits is 136080, while the sum is 45.
The square root of 1098713952 is about 33146.8543303886. The cubic root of 1098713952 is about 1031.8776671290.
The spelling of 1098713952 in words is "one billion, ninety-eight million, seven hundred thirteen thousand, nine hundred fifty-two".
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