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5403168 = 253273257
BaseRepresentation
bin10100100111001000100000
3101011111202100
4110213020200
52340400133
6311450400
763632451
oct24471040
911144670
105403168
113060531
121986a00
131172454
14a09128
1571ae13
hex527220

5403168 has 72 divisors (see below), whose sum is σ = 15636348. Its totient is φ = 1769472.

The previous prime is 5403157. The next prime is 5403169. The reversal of 5403168 is 8613045.

It can be written as a sum of positive squares in 2 ways, for example, as 4717584 + 685584 = 2172^2 + 828^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5403169) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20896 + ... + 21152.

Almost surely, 25403168 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 5403168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7818174).

5403168 is an abundant number, since it is smaller than the sum of its proper divisors (10233180).

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

5403168 is a wasteful number, since it uses less digits than its factorization.

5403168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 5403168 is about 2324.4715528481. The cubic root of 5403168 is about 175.4753660605.

The spelling of 5403168 in words is "five million, four hundred three thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 73 96 144 146 219 257 288 292 438 514 584 657 771 876 1028 1168 1314 1542 1752 2056 2313 2336 2628 3084 3504 4112 4626 5256 6168 7008 8224 9252 10512 12336 18504 18761 21024 24672 37008 37522 56283 74016 75044 112566 150088 168849 225132 300176 337698 450264 600352 675396 900528 1350792 1801056 2701584 5403168