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5381520 = 2435171319
BaseRepresentation
bin10100100001110110010000
3101010102001120
4110201312100
52334202040
6311202240
763512364
oct24416620
911112046
105381520
113046241
121976380
131165641
14a012a4
157147d0
hex521d90

5381520 has 80 divisors (see below), whose sum is σ = 17677440. Its totient is φ = 1349632.

The previous prime is 5381491. The next prime is 5381521. The reversal of 5381520 is 251835.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (5381521) 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, 3421 + ... + 4739.

It is an arithmetic number, because the mean of its divisors is an integer number (220968).

Almost surely, 25381520 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 5381520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8838720).

5381520 is an abundant number, since it is smaller than the sum of its proper divisors (12295920).

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

5381520 is a wasteful number, since it uses less digits than its factorization.

5381520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1352 (or 1346 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 5381520 is about 2319.8103370750. The cubic root of 5381520 is about 175.2407027885.

It can be divided in two parts, 53815 and 20, that added together give a palindrome (53835).

The spelling of 5381520 in words is "five million, three hundred eighty-one thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 816 1020 1319 1360 2040 2638 3957 4080 5276 6595 7914 10552 13190 15828 19785 21104 22423 26380 31656 39570 44846 52760 63312 67269 79140 89692 105520 112115 134538 158280 179384 224230 269076 316560 336345 358768 448460 538152 672690 896920 1076304 1345380 1793840 2690760 5381520