Search a number
-
+
5430360 = 233513592
BaseRepresentation
bin10100101101110001011000
3101012220001110
4110231301120
52342232420
6312220320
764104645
oct24556130
911186043
105430360
113079a01
12199a6a0
131181940
14a14dcc
15723ee0
hex52dc58

5430360 has 96 divisors (see below), whose sum is σ = 17846640. Its totient is φ = 1314048.

The previous prime is 5430353. The next prime is 5430367. The reversal of 5430360 is 630345.

It is an interprime number because it is at equal distance from previous prime (5430353) and next prime (5430367).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5430367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92011 + ... + 92069.

Almost surely, 25430360 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 5430360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8923320).

5430360 is an abundant number, since it is smaller than the sum of its proper divisors (12416280).

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

5430360 is a wasteful number, since it uses less digits than its factorization.

5430360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 5430360 is about 2330.3132836595. The cubic root of 5430360 is about 175.7692395843.

The spelling of 5430360 in words is "five million, four hundred thirty thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 59 60 65 78 104 118 120 130 156 177 195 236 260 295 312 354 390 472 520 590 708 767 780 885 1180 1416 1534 1560 1770 2301 2360 3068 3481 3540 3835 4602 6136 6962 7080 7670 9204 10443 11505 13924 15340 17405 18408 20886 23010 27848 30680 34810 41772 45253 46020 52215 69620 83544 90506 92040 104430 135759 139240 181012 208860 226265 271518 362024 417720 452530 543036 678795 905060 1086072 1357590 1810120 2715180 5430360