Base | Representation |
---|---|
bin | 111010000111010… |
… | …010101011000000 |
3 | 2111221121121212100 |
4 | 322013102223000 |
5 | 3444044140031 |
6 | 240425230400 |
7 | 33106164330 |
oct | 7207225300 |
9 | 2457547770 |
10 | 974990016 |
11 | 4603a1480 |
12 | 232632400 |
13 | 126cc1590 |
14 | 936bb0c0 |
15 | 5a8e0de6 |
hex | 3a1d2ac0 |
974990016 has 672 divisors, whose sum is σ = 3994099200. Its totient is φ = 218972160.
The previous prime is 974990011. The next prime is 974990053. The reversal of 974990016 is 610099479.
It is a tau number, because it is divible by the number of its divisors (672).
It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (974990011) 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 95 ways as a sum of consecutive naturals, for example, 10954900 + ... + 10954988.
It is an arithmetic number, because the mean of its divisors is an integer number (5943600).
Almost surely, 2974990016 is an apocalyptic number.
974990016 is a gapful number since it is divisible by the number (96) 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 974990016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1997049600).
974990016 is an abundant number, since it is smaller than the sum of its proper divisors (3019109184).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
974990016 is a wasteful number, since it uses less digits than its factorization.
974990016 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 157 (or 144 counting only the distinct ones).
The product of its (nonzero) digits is 122472, while the sum is 45.
The square root of 974990016 is about 31224.8301196340. The cubic root of 974990016 is about 991.5928566803.
The spelling of 974990016 in words is "nine hundred seventy-four million, nine hundred ninety thousand, sixteen".
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