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5215360 = 27529281
BaseRepresentation
bin10011111001010010000000
3100210222010111
4103321102000
52313342420
6303441104
762221063
oct23712200
910728114
105215360
112a42417
1218b6194
131107b17
1499a8da
156d045a
hex4f9480

5215360 has 64 divisors (see below), whose sum is σ = 12943800. Its totient is φ = 2007040.

The previous prime is 5215349. The next prime is 5215361. The reversal of 5215360 is 635125.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4562496 + 652864 = 2136^2 + 808^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5215361) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18420 + ... + 18700.

Almost surely, 25215360 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 5215360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6471900).

5215360 is an abundant number, since it is smaller than the sum of its proper divisors (7728440).

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

5215360 is a wasteful number, since it uses less digits than its factorization.

5215360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 5215360 is about 2283.7162695922. The cubic root of 5215360 is about 173.4182358551.

The spelling of 5215360 in words is "five million, two hundred fifteen thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 128 145 160 232 281 290 320 464 562 580 640 928 1124 1160 1405 1856 2248 2320 2810 3712 4496 4640 5620 8149 8992 9280 11240 16298 17984 18560 22480 32596 35968 40745 44960 65192 81490 89920 130384 162980 179840 260768 325960 521536 651920 1043072 1303840 2607680 5215360