Search a number
-
+
9640890 = 233575101
BaseRepresentation
bin100100110001…
…101110111010
3200010210211000
4210301232322
54432002030
6542345430
7144642360
oct44615672
920123730
109640890
115495386
12328b276
131cc728c
1413cd630
15ca6860
hex931bba

9640890 has 64 divisors (see below), whose sum is σ = 29387520. Its totient is φ = 2203200.

The previous prime is 9640889. The next prime is 9640913. The reversal of 9640890 is 980469.

9640890 is a `hidden beast` number, since 9 + 640 + 8 + 9 + 0 = 666.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 661 + ... + 4440.

It is an arithmetic number, because the mean of its divisors is an integer number (459180).

Almost surely, 29640890 is an apocalyptic number.

9640890 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 9640890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14693760).

9640890 is an abundant number, since it is smaller than the sum of its proper divisors (19746630).

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

9640890 is a wasteful number, since it uses less digits than its factorization.

9640890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5124 (or 5118 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 9640890 is about 3104.9782607935. The cubic root of 9640890 is about 212.8330371804.

The spelling of 9640890 in words is "nine million, six hundred forty thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 270 315 378 630 945 1890 5101 10202 15303 25505 30606 35707 45909 51010 71414 76515 91818 107121 137727 153030 178535 214242 229545 275454 321363 357070 459090 535605 642726 688635 964089 1071210 1377270 1606815 1928178 3213630 4820445 9640890