Base | Representation |
---|---|
bin | 111010000011001… |
… | …101111011111000 |
3 | 2111212121100212200 |
4 | 322003031323320 |
5 | 3443311001130 |
6 | 240350310200 |
7 | 33064125600 |
oct | 7203157370 |
9 | 2455540780 |
10 | 973922040 |
11 | 45a832053 |
12 | 2321b8360 |
13 | 126a09440 |
14 | 934bdc00 |
15 | 5a77e760 |
hex | 3a0cdef8 |
973922040 has 576 divisors, whose sum is σ = 4123042560. Its totient is φ = 197406720.
The previous prime is 973922017. The next prime is 973922041. The reversal of 973922040 is 40229379.
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
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 = 973921986 and 973922004.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (973922041) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7108852 + ... + 7108988.
It is an arithmetic number, because the mean of its divisors is an integer number (7158060).
Almost surely, 2973922040 is an apocalyptic number.
973922040 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 973922040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2061521280).
973922040 is an abundant number, since it is smaller than the sum of its proper divisors (3149120520).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
973922040 is a wasteful number, since it uses less digits than its factorization.
973922040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 212 (or 198 counting only the distinct ones).
The product of its (nonzero) digits is 27216, while the sum is 36.
The square root of 973922040 is about 31207.7240438966. The cubic root of 973922040 is about 991.2306703140.
The spelling of 973922040 in words is "nine hundred seventy-three million, nine hundred twenty-two thousand, forty".
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