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5314132560 = 24351110319543
BaseRepresentation
bin1001111001011111…
…10011101001010000
3111201100110220102110
410330233303221100
541340404220220
62235152145320
7245455244562
oct47457635120
914640426373
105314132560
1122877644a0
121043838240
13668c67249
14385ab3332
15211807be0
hex13cbf3a50

5314132560 has 160 divisors (see below), whose sum is σ = 18146838528. Its totient is φ = 1275701760.

The previous prime is 5314132529. The next prime is 5314132567. The reversal of 5314132560 is 652314135.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5314132567) 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, 262149 + ... + 281691.

Almost surely, 25314132560 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 5314132560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9073419264).

5314132560 is an abundant number, since it is smaller than the sum of its proper divisors (12832705968).

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

5314132560 is a wasteful number, since it uses less digits than its factorization.

5314132560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19673 (or 19667 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 5314132560 is about 72898.0970945058. The cubic root of 5314132560 is about 1745.0617307522.

Adding to 5314132560 its reverse (652314135), we get a palindrome (5966446695).

The spelling of 5314132560 in words is "five billion, three hundred fourteen million, one hundred thirty-two thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 103 110 120 132 165 176 206 220 240 264 309 330 412 440 515 528 618 660 824 880 1030 1133 1236 1320 1545 1648 2060 2266 2472 2640 3090 3399 4120 4532 4944 5665 6180 6798 8240 9064 11330 12360 13596 16995 18128 19543 22660 24720 27192 33990 39086 45320 54384 58629 67980 78172 90640 97715 117258 135960 156344 195430 214973 234516 271920 293145 312688 390860 429946 469032 586290 644919 781720 859892 938064 1074865 1172580 1289838 1563440 1719784 2012929 2149730 2345160 2579676 3224595 3439568 4025858 4299460 4690320 5159352 6038787 6449190 8051716 8598920 10064645 10318704 12077574 12898380 16103432 17197840 20129290 22142219 24155148 25796760 30193935 32206864 40258580 44284438 48310296 51593520 60387870 66426657 80517160 88568876 96620592 110711095 120775740 132853314 161034320 177137752 221422190 241551480 265706628 332133285 354275504 442844380 483102960 531413256 664266570 885688760 1062826512 1328533140 1771377520 2657066280 5314132560