Search a number
-
+
5360599420 = 22511231079901
BaseRepresentation
bin1001111111000010…
…00100000101111100
3111211120220122222021
410333201010011330
541434303140140
62243532125524
7246561225511
oct47741040574
914746818867
105360599420
112300a11760
1210573068a4
13675786427
1438bd2b308
15215935b4a
hex13f84417c

5360599420 has 96 divisors (see below), whose sum is σ = 12935655936. Its totient is φ = 1846944000.

The previous prime is 5360599393. The next prime is 5360599421. The reversal of 5360599420 is 249950635.

It is a super-2 number, since 2×53605994202 = 57472052283408672800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5360599421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 536470 + ... + 546370.

It is an arithmetic number, because the mean of its divisors is an integer number (134746416).

Almost surely, 25360599420 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 5360599420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6467827968).

5360599420 is an abundant number, since it is smaller than the sum of its proper divisors (7575056516).

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

5360599420 is a wasteful number, since it uses less digits than its factorization.

5360599420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10051 (or 10049 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 43.

The square root of 5360599420 is about 73216.1144830836. The cubic root of 5360599420 is about 1750.1332600563.

The spelling of 5360599420 in words is "five billion, three hundred sixty million, five hundred ninety-nine thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 107 110 115 214 220 230 253 428 460 506 535 1012 1070 1177 1265 2140 2354 2461 2530 4708 4922 5060 5885 9844 9901 11770 12305 19802 23540 24610 27071 39604 49220 49505 54142 99010 108284 108911 135355 198020 217822 227723 270710 435644 455446 541420 544555 910892 1059407 1089110 1138615 2118814 2178220 2277230 2504953 4237628 4554460 5009906 5297035 10019812 10594070 11653477 12524765 21188140 23306954 24366361 25049530 46613908 48732722 50099060 58267385 97465444 116534770 121831805 233069540 243663610 268029971 487327220 536059942 1072119884 1340149855 2680299710 5360599420