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5707320 = 2335199239
BaseRepresentation
bin10101110001011000111000
3101201221222020
4111301120320
52430113240
6322154440
766340263
oct25613070
911657866
105707320
113248aa3
121ab2a20
13124aa18
14a87cda
1577b0d0
hex571638

5707320 has 64 divisors (see below), whose sum is σ = 17280000. Its totient is φ = 1507968.

The previous prime is 5707319. The next prime is 5707357. The reversal of 5707320 is 237075.

5707320 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 23892-1.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23761 + ... + 23999.

It is an arithmetic number, because the mean of its divisors is an integer number (270000).

Almost surely, 25707320 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 5707320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8640000).

5707320 is an abundant number, since it is smaller than the sum of its proper divisors (11572680).

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

5707320 is a wasteful number, since it uses less digits than its factorization.

5707320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 24.

The square root of 5707320 is about 2388.9997907074. Note that the first 3 decimals coincide. The cubic root of 5707320 is about 178.7080329208.

The spelling of 5707320 in words is "five million, seven hundred seven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 199 239 398 478 597 717 796 956 995 1194 1195 1434 1592 1912 1990 2388 2390 2868 2985 3585 3980 4776 4780 5736 5970 7170 7960 9560 11940 14340 23880 28680 47561 95122 142683 190244 237805 285366 380488 475610 570732 713415 951220 1141464 1426830 1902440 2853660 5707320