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5310320 = 245411619
BaseRepresentation
bin10100010000011101110000
3100222210101112
4110100131300
52324412240
6305452452
763064661
oct24203560
910883345
105310320
112aa77a4
121941128
13113c102
149c3368
156ed665
hex510770

5310320 has 40 divisors (see below), whose sum is σ = 12655440. Its totient is φ = 2071040.

The previous prime is 5310317. The next prime is 5310343. The reversal of 5310320 is 230135.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 5310295 and 5310304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2471 + ... + 4089.

It is an arithmetic number, because the mean of its divisors is an integer number (316386).

Almost surely, 25310320 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 5310320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6327720).

5310320 is an abundant number, since it is smaller than the sum of its proper divisors (7345120).

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

5310320 is a wasteful number, since it uses less digits than its factorization.

5310320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1673 (or 1667 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 14.

The square root of 5310320 is about 2304.4131574004. The cubic root of 5310320 is about 174.4644306448.

Adding to 5310320 its reverse (230135), we get a palindrome (5540455).

The spelling of 5310320 in words is "five million, three hundred ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 656 820 1619 1640 3238 3280 6476 8095 12952 16190 25904 32380 64760 66379 129520 132758 265516 331895 531032 663790 1062064 1327580 2655160 5310320