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973368060 = 223573077549
BaseRepresentation
bin111010000001000…
…110101011111100
32111211120012221220
4322001012223330
53443140234220
6240330353340
733056330520
oct7201065374
92454505856
10973368060
1145a493915
12231b8b850
13126874242
14933b7d80
155a6c0540
hex3a046afc

973368060 has 96 divisors (see below), whose sum is σ = 3125337600. Its totient is φ = 221730048.

The previous prime is 973368049. The next prime is 973368061. The reversal of 973368060 is 60863379.

973368060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (973368061) 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, 125166 + ... + 132714.

It is an arithmetic number, because the mean of its divisors is an integer number (32555600).

Almost surely, 2973368060 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 973368060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1562668800).

973368060 is an abundant number, since it is smaller than the sum of its proper divisors (2151969540).

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

973368060 is a wasteful number, since it uses less digits than its factorization.

973368060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7875 (or 7873 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The square root of 973368060 is about 31198.8470940835. The cubic root of 973368060 is about 991.0426928740.

The spelling of 973368060 in words is "nine hundred seventy-three million, three hundred sixty-eight thousand, sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 307 420 614 921 1228 1535 1842 2149 3070 3684 4298 4605 6140 6447 7549 8596 9210 10745 12894 15098 18420 21490 22647 25788 30196 32235 37745 42980 45294 52843 64470 75490 90588 105686 113235 128940 150980 158529 211372 226470 264215 317058 452940 528430 634116 792645 1056860 1585290 2317543 3170580 4635086 6952629 9270172 11587715 13905258 16222801 23175430 27810516 32445602 34763145 46350860 48668403 64891204 69526290 81114005 97336806 139052580 162228010 194673612 243342015 324456020 486684030 973368060