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5393280 = 2735532
BaseRepresentation
bin10100100100101110000000
3101011000012010
4110210232000
52340041110
6311332520
763561564
oct24445600
911130163
105393280
113054062
121981140
13116aab9
14a056a4
15718020
hex524b80

5393280 has 96 divisors (see below), whose sum is σ = 17521560. Its totient is φ = 1411072.

The previous prime is 5393273. The next prime is 5393291. The reversal of 5393280 is 823935.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a d-powerful number, because it can be written as 57 + 312 + 93 + 314 + 23 + 8 + 0 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 101734 + ... + 101786.

Almost surely, 25393280 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 5393280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8760780).

5393280 is an abundant number, since it is smaller than the sum of its proper divisors (12128280).

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

5393280 is an equidigital number, since it uses as much as digits as its factorization.

5393280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 5393280 is about 2322.3436438219. The cubic root of 5393280 is about 175.3682585309.

Multiplying 5393280 by its sum of digits (30), we get a square (161798400 = 127202).

5393280 divided by its sum of digits (30) gives a square (179776 = 4242).

The spelling of 5393280 in words is "five million, three hundred ninety-three thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 53 60 64 80 96 106 120 128 159 160 192 212 240 265 318 320 384 424 480 530 636 640 795 848 960 1060 1272 1590 1696 1920 2120 2544 2809 3180 3392 4240 5088 5618 6360 6784 8427 8480 10176 11236 12720 14045 16854 16960 20352 22472 25440 28090 33708 33920 42135 44944 50880 56180 67416 84270 89888 101760 112360 134832 168540 179776 224720 269664 337080 359552 449440 539328 674160 898880 1078656 1348320 1797760 2696640 5393280