Base | Representation |
---|---|
bin | 111010111101010… |
… | …001001010010000 |
3 | 2112221020111110000 |
4 | 322331101022100 |
5 | 4011204431400 |
6 | 242052410000 |
7 | 33340355631 |
oct | 7275211220 |
9 | 2487214400 |
10 | 989139600 |
11 | 468386249 |
12 | 237316900 |
13 | 129c06b07 |
14 | 95521888 |
15 | 5bc88600 |
hex | 3af51290 |
989139600 has 150 divisors (see below), whose sum is σ = 3550058930. Its totient is φ = 263761920.
The previous prime is 989139539. The next prime is 989139607. The reversal of 989139600 is 6931989.
989139600 is a `hidden beast` number, since 9 + 8 + 9 + 1 + 39 + 600 = 666.
It can be written as a sum of positive squares in 3 ways, for example, as 12702096 + 976437504 = 3564^2 + 31248^2 .
It is a tau number, because it is divible by the number of its divisors (150).
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (989139607) by changing a digit.
It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 17136 + ... + 47664.
Almost surely, 2989139600 is an apocalyptic number.
989139600 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 989139600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1775029465).
989139600 is an abundant number, since it is smaller than the sum of its proper divisors (2560919330).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
989139600 is a wasteful number, since it uses less digits than its factorization.
989139600 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 30559 (or 30539 counting only the distinct ones).
The product of its (nonzero) digits is 104976, while the sum is 45.
The square root of 989139600 is about 31450.5898195884. The cubic root of 989139600 is about 996.3666816523.
The spelling of 989139600 in words is "nine hundred eighty-nine million, one hundred thirty-nine thousand, six hundred".
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