| Base | Representation |
|---|---|
| bin | 111011000101101… |
| … | …110000010100000 |
| 3 | 2120002102001110100 |
| 4 | 323011232002200 |
| 5 | 4012241330130 |
| 6 | 242212102400 |
| 7 | 33365243634 |
| oct | 7305560240 |
| 9 | 2502361410 |
| 10 | 991355040 |
| 11 | 469659795 |
| 12 | 238004a00 |
| 13 | 12a501320 |
| 14 | 9593adc4 |
| 15 | 5c074c60 |
| hex | 3b16e0a0 |
991355040 has 144 divisors (see below), whose sum is σ = 3643298568. Its totient is φ = 244021248.
The previous prime is 991355033. The next prime is 991355041. The reversal of 991355040 is 40553199.
991355040 is a `hidden beast` number, since 99 + 13 + 550 + 4 + 0 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 289952784 + 701402256 = 17028^2 + 26484^2 .
It is a tau number, because it is divible by the number of its divisors (144).
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 = 991354986 and 991355004.
It is not an unprimeable number, because it can be changed into a prime (991355041) by changing a digit.
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, 7759 + ... + 45198.
Almost surely, 2991355040 is an apocalyptic number.
991355040 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 991355040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1821649284).
991355040 is an abundant number, since it is smaller than the sum of its proper divisors (2651943528).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
991355040 is a wasteful number, since it uses less digits than its factorization.
991355040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 52991 (or 52980 counting only the distinct ones).
The product of its (nonzero) digits is 24300, while the sum is 36.
The square root of 991355040 is about 31485.7910810575. The cubic root of 991355040 is about 997.1100026277.
The spelling of 991355040 in words is "nine hundred ninety-one million, three hundred fifty-five thousand, forty".
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