Base | Representation |
---|---|
bin | 111101011101000… |
… | …010100110100000 |
3 | 2122212001101200100 |
4 | 331131002212200 |
5 | 4102420214013 |
6 | 250150222400 |
7 | 34356356661 |
oct | 7535024640 |
9 | 2585041610 |
10 | 1031023008 |
11 | 489a92934 |
12 | 249354a00 |
13 | 1357ac9b2 |
14 | 9ad05368 |
15 | 607ad473 |
hex | 3d7429a0 |
1031023008 has 72 divisors (see below), whose sum is σ = 2937402468. Its totient is φ = 343037952.
The previous prime is 1031022989. The next prime is 1031023031. The reversal of 1031023008 is 8003201301.
It can be written as a sum of positive squares in 2 ways, for example, as 1019652624 + 11370384 = 31932^2 + 3372^2 .
It is a tau number, because it is divible by the number of its divisors (72).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 167766 + ... + 173802.
Almost surely, 21031023008 is an apocalyptic number.
1031023008 is a gapful number since it is divisible by the number (18) 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 1031023008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1468701234).
1031023008 is an abundant number, since it is smaller than the sum of its proper divisors (1906379460).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1031023008 is a wasteful number, since it uses less digits than its factorization.
1031023008 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 6646 (or 6635 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 18.
The square root of 1031023008 is about 32109.5469915102. The cubic root of 1031023008 is about 1010.2358721076.
Adding to 1031023008 its reverse (8003201301), we get a palindrome (9034224309).
The spelling of 1031023008 in words is "one billion, thirty-one million, twenty-three thousand, eight".
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