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9916290 = 2335191933
BaseRepresentation
bin100101110100…
…111110000010
3200122210121000
4211310332002
510014310130
6552312430
7150200316
oct45647602
920583530
109916290
11566328a
1233a2716
132092737
141461b46
15d0d260
hex974f82

9916290 has 64 divisors (see below), whose sum is σ = 27849600. Its totient is φ = 2503872.

The previous prime is 9916279. The next prime is 9916297. The reversal of 9916290 is 926199.

9916290 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 not an unprimeable number, because it can be changed into a prime (9916297) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4164 + ... + 6096.

It is an arithmetic number, because the mean of its divisors is an integer number (435150).

Almost surely, 29916290 is an apocalyptic number.

9916290 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 9916290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13924800).

9916290 is an abundant number, since it is smaller than the sum of its proper divisors (17933310).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9916290 is a wasteful number, since it uses less digits than its factorization.

9916290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1968 (or 1962 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The square root of 9916290 is about 3149.0141314386. The cubic root of 9916290 is about 214.8406246311.

The spelling of 9916290 in words is "nine million, nine hundred sixteen thousand, two hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 90 95 114 135 171 190 270 285 342 513 570 855 1026 1710 1933 2565 3866 5130 5799 9665 11598 17397 19330 28995 34794 36727 52191 57990 73454 86985 104382 110181 173970 183635 220362 260955 330543 367270 521910 550905 661086 991629 1101810 1652715 1983258 3305430 4958145 9916290