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9084013440 = 27355389269
BaseRepresentation
bin10000111010111001…
…10000101110000000
3212110002011200210020
420131130300232000
5122101001412230
64101221533440
7441052561125
oct103534605600
925402150706
109084013440
113941763827
121916274280
13b19cb73a8
1462264474c
15382774810
hex21d730b80

9084013440 has 128 divisors (see below), whose sum is σ = 29501949600. Its totient is φ = 2376671232.

The previous prime is 9084013439. The next prime is 9084013441. The reversal of 9084013440 is 443104809.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (9084013439) and next prime (9084013441).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9084013441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57126 + ... + 146394.

Almost surely, 29084013440 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 9084013440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14750974800).

9084013440 is an abundant number, since it is smaller than the sum of its proper divisors (20417936160).

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

9084013440 is a wasteful number, since it uses less digits than its factorization.

9084013440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89344 (or 89332 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 9084013440 is about 95310.0909662770. The cubic root of 9084013440 is about 2086.5361945639.

It can be divided in two parts, 9084013 and 440, that added together give a triangular number (9084453 = T4262).

The spelling of 9084013440 in words is "nine billion, eighty-four million, thirteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 53 60 64 80 96 106 120 128 159 160 192 212 240 265 318 320 384 424 480 530 636 640 795 848 960 1060 1272 1590 1696 1920 2120 2544 3180 3392 4240 5088 6360 6784 8480 10176 12720 16960 20352 25440 33920 50880 89269 101760 178538 267807 357076 446345 535614 714152 892690 1071228 1339035 1428304 1785380 2142456 2678070 2856608 3570760 4284912 4731257 5356140 5713216 7141520 8569824 9462514 10712280 11426432 14193771 14283040 17139648 18925028 21424560 23656285 28387542 28566080 34279296 37850056 42849120 47312570 56775084 57132160 70968855 75700112 85698240 94625140 113550168 141937710 151400224 171396480 189250280 227100336 283875420 302800448 378500560 454200672 567750840 605600896 757001120 908401344 1135501680 1514002240 1816802688 2271003360 3028004480 4542006720 9084013440