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53340120 = 23345101163
BaseRepresentation
bin1100101101111…
…0011111011000
310201100221220000
43023132133120
5102123340440
65143133000
71215245361
oct313363730
9121327800
1053340120
1128122249
1215a44160
13b087802
147126b68
154a39730
hex32de7d8

53340120 has 160 divisors (see below), whose sum is σ = 182167920. Its totient is φ = 13996800.

The previous prime is 53340083. The next prime is 53340143. The reversal of 53340120 is 2104335.

It is a super-2 number, since 2×533401202 = 5690336803228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 53340093 and 53340102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 327159 + ... + 327321.

Almost surely, 253340120 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 53340120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91083960).

53340120 is an abundant number, since it is smaller than the sum of its proper divisors (128827800).

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

53340120 is a wasteful number, since it uses less digits than its factorization.

53340120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 53340120 is about 7303.4320699244. The cubic root of 53340120 is about 376.4303771198.

Adding to 53340120 its reverse (2104335), we get a palindrome (55444455).

The spelling of 53340120 in words is "fifty-three million, three hundred forty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 101 108 120 135 162 163 180 202 216 270 303 324 326 360 404 405 489 505 540 606 648 652 808 810 815 909 978 1010 1080 1212 1304 1467 1515 1620 1630 1818 1956 2020 2424 2445 2727 2934 3030 3240 3260 3636 3912 4040 4401 4545 4890 5454 5868 6060 6520 7272 7335 8181 8802 9090 9780 10908 11736 12120 13203 13635 14670 16362 16463 17604 18180 19560 21816 22005 26406 27270 29340 32724 32926 35208 36360 40905 44010 49389 52812 54540 58680 65448 65852 66015 81810 82315 88020 98778 105624 109080 131704 132030 148167 163620 164630 176040 197556 246945 264060 296334 327240 329260 395112 444501 493890 528120 592668 658520 740835 889002 987780 1185336 1333503 1481670 1778004 1975560 2222505 2667006 2963340 3556008 4445010 5334012 5926680 6667515 8890020 10668024 13335030 17780040 26670060 53340120