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53370720 = 25325132851
BaseRepresentation
bin1100101110010…
…1111101100000
310201102111212100
43023211331200
5102130330340
65143530400
71215433524
oct313457540
9121374770
1053370720
1128143237
1215a59a00
13b098710
147133d84
154a43830
hex32e5f60

53370720 has 144 divisors (see below), whose sum is σ = 196206192. Its totient is φ = 13132800.

The previous prime is 53370689. The next prime is 53370721. The reversal of 53370720 is 2707335.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53370721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17295 + ... + 20145.

It is an arithmetic number, because the mean of its divisors is an integer number (1362543).

Almost surely, 253370720 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 53370720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98103096).

53370720 is an abundant number, since it is smaller than the sum of its proper divisors (142835472).

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

53370720 is a wasteful number, since it uses less digits than its factorization.

53370720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2885 (or 2874 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 27.

The square root of 53370720 is about 7305.5266750591. The cubic root of 53370720 is about 376.5023465090.

It can be divided in two parts, 533 and 70720, that added together give a triangular number (71253 = T377).

The spelling of 53370720 in words is "fifty-three million, three hundred seventy thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 32 36 39 40 45 48 52 60 65 72 78 80 90 96 104 117 120 130 144 156 160 180 195 208 234 240 260 288 312 360 390 416 468 480 520 585 624 720 780 936 1040 1170 1248 1440 1560 1872 2080 2340 2851 3120 3744 4680 5702 6240 8553 9360 11404 14255 17106 18720 22808 25659 28510 34212 37063 42765 45616 51318 57020 68424 74126 85530 91232 102636 111189 114040 128295 136848 148252 171060 185315 205272 222378 228080 256590 273696 296504 333567 342120 370630 410544 444756 456160 513180 555945 593008 667134 684240 741260 821088 889512 1026360 1111890 1186016 1334268 1368480 1482520 1667835 1779024 2052720 2223780 2668536 2965040 3335670 3558048 4105440 4447560 5337072 5930080 6671340 8895120 10674144 13342680 17790240 26685360 53370720