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9042187320 = 2332564738821
BaseRepresentation
bin10000110101111010…
…01101010000111000
3212100011110201010200
420122331031100320
5122004244443240
64053125242200
7440034216105
oct103275152070
925304421120
109042187320
113920096191
121904263360
13b114315ca
1461ac77aac
1537dc61930
hex21af4d438

9042187320 has 96 divisors (see below), whose sum is σ = 29433287520. Its totient is φ = 2407461120.

The previous prime is 9042187313. The next prime is 9042187331. The reversal of 9042187320 is 237812409.

It is a super-2 number, since 2×90421873202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 213510 + ... + 252330.

It is an arithmetic number, because the mean of its divisors is an integer number (306596745).

Almost surely, 29042187320 is an apocalyptic number.

9042187320 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9042187320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14716643760).

9042187320 is an abundant number, since it is smaller than the sum of its proper divisors (20391100200).

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

9042187320 is a wasteful number, since it uses less digits than its factorization.

9042187320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39485 (or 39478 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 9042187320 is about 95090.4165518271. The cubic root of 9042187320 is about 2083.3288750553.

Adding to 9042187320 its reverse (237812409), we get a palindrome (9279999729).

The spelling of 9042187320 in words is "nine billion, forty-two million, one hundred eighty-seven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 647 1294 1941 2588 3235 3882 5176 5823 6470 7764 9705 11646 12940 15528 19410 23292 25880 29115 38820 38821 46584 58230 77640 77642 116460 116463 155284 194105 232920 232926 310568 349389 388210 465852 582315 698778 776420 931704 1164630 1397556 1552840 1746945 2329260 2795112 3493890 4658520 6987780 13975560 25117187 50234374 75351561 100468748 125585935 150703122 200937496 226054683 251171870 301406244 376757805 452109366 502343740 602812488 753515610 904218732 1004687480 1130273415 1507031220 1808437464 2260546830 3014062440 4521093660 9042187320