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5358720 = 27352791
BaseRepresentation
bin10100011100010010000000
3101002020210010
4110130102000
52332434340
6310504520
763356043
oct24342200
911066703
105358720
1130300a4
121965140
131158153
149d6c5a
1570cb80
hex51c480

5358720 has 64 divisors (see below), whose sum is σ = 17087040. Its totient is φ = 1428480.

The previous prime is 5358713. The next prime is 5358733. The reversal of 5358720 is 278535.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 525 + ... + 3315.

It is an arithmetic number, because the mean of its divisors is an integer number (266985).

Almost surely, 25358720 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 5358720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8543520).

5358720 is an abundant number, since it is smaller than the sum of its proper divisors (11728320).

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

5358720 is a wasteful number, since it uses less digits than its factorization.

5358720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2813 (or 2801 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 5358720 is about 2314.8909261561. The cubic root of 5358720 is about 174.9928704578.

The spelling of 5358720 in words is "five million, three hundred fifty-eight thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 2791 5582 8373 11164 13955 16746 22328 27910 33492 41865 44656 55820 66984 83730 89312 111640 133968 167460 178624 223280 267936 334920 357248 446560 535872 669840 893120 1071744 1339680 1786240 2679360 5358720