Search a number
-
+
5513232240 = 2432510137559
BaseRepresentation
bin1010010001001110…
…10011111101110000
3112020020010012211200
411020213103331300
542242341412430
62311023411200
7253423462245
oct51047237560
915206105750
105513232240
11237a091a8a
12109a453b00
1369b2977c9
143a42dd5cc
15224035460
hex1489d3f70

5513232240 has 120 divisors (see below), whose sum is σ = 18536001120. Its totient is φ = 1468549632.

The previous prime is 5513232233. The next prime is 5513232247. The reversal of 5513232240 is 422323155.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5513232233) and next prime (5513232247).

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5513232247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 725581 + ... + 733139.

It is an arithmetic number, because the mean of its divisors is an integer number (154466676).

Almost surely, 25513232240 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 5513232240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9268000560).

5513232240 is an abundant number, since it is smaller than the sum of its proper divisors (13022768880).

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

5513232240 is a wasteful number, since it uses less digits than its factorization.

5513232240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8591 (or 8582 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 5513232240 is about 74251.1430215051. The cubic root of 5513232240 is about 1766.5886223187.

Adding to 5513232240 its reverse (422323155), we get a palindrome (5935555395).

The spelling of 5513232240 in words is "five billion, five hundred thirteen million, two hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 1013 2026 3039 4052 5065 6078 7559 8104 9117 10130 12156 15118 15195 16208 18234 20260 22677 24312 30236 30390 36468 37795 40520 45354 45585 48624 60472 60780 68031 72936 75590 81040 90708 91170 113385 120944 121560 136062 145872 151180 181416 182340 226770 243120 272124 302360 340155 362832 364680 453540 544248 604720 680310 729360 907080 1088496 1360620 1814160 2721240 5442480 7657267 15314534 22971801 30629068 38286335 45943602 61258136 68915403 76572670 91887204 114859005 122516272 137830806 153145340 183774408 229718010 275661612 306290680 344577015 367548816 459436020 551323224 612581360 689154030 918872040 1102646448 1378308060 1837744080 2756616120 5513232240