Search a number
-
+
9973530 = 234571759
BaseRepresentation
bin100110000010…
…111100011010
3200202201010000
4212002330122
510023123110
6553433430
7150526230
oct46027432
920681100
109973530
1156a2296
12340b876
1320b27c8
141478950
15d201c0
hex982f1a

9973530 has 80 divisors (see below), whose sum is σ = 30666240. Its totient is φ = 2278368.

The previous prime is 9973517. The next prime is 9973531. The reversal of 9973530 is 353799.

It is not an unprimeable number, because it can be changed into a prime (9973531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4791 + ... + 6549.

It is an arithmetic number, because the mean of its divisors is an integer number (383328).

Almost surely, 29973530 is an apocalyptic number.

9973530 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 9973530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15333120).

9973530 is an abundant number, since it is smaller than the sum of its proper divisors (20692710).

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

9973530 is a wasteful number, since it uses less digits than its factorization.

9973530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1785 (or 1776 counting only the distinct ones).

The product of its (nonzero) digits is 25515, while the sum is 36.

The square root of 9973530 is about 3158.0896124081. The cubic root of 9973530 is about 215.2532080766.

The spelling of 9973530 in words is "nine million, nine hundred seventy-three thousand, five hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 81 90 105 126 135 162 189 210 270 315 378 405 567 630 810 945 1134 1759 1890 2835 3518 5277 5670 8795 10554 12313 15831 17590 24626 26385 31662 36939 47493 52770 61565 73878 79155 94986 110817 123130 142479 158310 184695 221634 237465 284958 332451 369390 474930 554085 664902 712395 997353 1108170 1424790 1662255 1994706 3324510 4986765 9973530