Search a number
-
+
9790900 = 2252771197
BaseRepresentation
bin100101010110…
…010110110100
3200102102120221
4211112112310
510001302100
6545504124
7146135620
oct45262664
920372527
109790900
115588059
123342044
13204a642
14142c180
15cd601a
hex9565b4

9790900 has 72 divisors (see below), whose sum is σ = 24748416. Its totient is φ = 3292800.

The previous prime is 9790843. The next prime is 9790901. The reversal of 9790900 is 90979.

9790900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9790901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49602 + ... + 49798.

It is an arithmetic number, because the mean of its divisors is an integer number (343728).

Almost surely, 29790900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9790900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12374208).

9790900 is an abundant number, since it is smaller than the sum of its proper divisors (14957516).

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

9790900 is a wasteful number, since it uses less digits than its factorization.

9790900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 5103, while the sum is 34.

The square root of 9790900 is about 3129.0413867509. The cubic root of 9790900 is about 213.9312382802.

The spelling of 9790900 in words is "nine million, seven hundred ninety thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 71 100 140 142 175 197 284 350 355 394 497 700 710 788 985 994 1379 1420 1775 1970 1988 2485 2758 3550 3940 4925 4970 5516 6895 7100 9850 9940 12425 13790 13987 19700 24850 27580 27974 34475 49700 55948 68950 69935 97909 137900 139870 195818 279740 349675 391636 489545 699350 979090 1398700 1958180 2447725 4895450 9790900