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5380320 = 2535111019
BaseRepresentation
bin10100100001100011100000
3101010100102010
4110201203200
52334132240
6311152520
763506031
oct24414340
911110363
105380320
113045350
121975740
131164c2a
14a00a88
15714280
hex5218e0

5380320 has 96 divisors (see below), whose sum is σ = 18506880. Its totient is φ = 1303040.

The previous prime is 5380303. The next prime is 5380327. The reversal of 5380320 is 230835.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5380327) 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, 4771 + ... + 5789.

It is an arithmetic number, because the mean of its divisors is an integer number (192780).

Almost surely, 25380320 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 5380320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9253440).

5380320 is an abundant number, since it is smaller than the sum of its proper divisors (13126560).

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

5380320 is a wasteful number, since it uses less digits than its factorization.

5380320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1048 (or 1040 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 5380320 is about 2319.5516808211. The cubic root of 5380320 is about 175.2276764517.

The spelling of 5380320 in words is "five million, three hundred eighty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1019 1056 1320 1760 2038 2640 3057 4076 5095 5280 6114 8152 10190 11209 12228 15285 16304 20380 22418 24456 30570 32608 33627 40760 44836 48912 56045 61140 67254 81520 89672 97824 112090 122280 134508 163040 168135 179344 224180 244560 269016 336270 358688 448360 489120 538032 672540 896720 1076064 1345080 1793440 2690160 5380320