Search a number
-
+
5142327360 = 263525121341
BaseRepresentation
bin1001100101000000…
…11011000001000000
3111021101012021222220
410302200123001000
541012413433420
62210133531040
7241301030022
oct46240330100
914241167886
105142327360
1121a9789725
12bb61a3a80
1363c4a2371
1436ad50012
152016bc840
hex13281b040

5142327360 has 112 divisors (see below), whose sum is σ = 16392704832. Its totient is φ = 1365760000.

The previous prime is 5142327347. The next prime is 5142327361. The reversal of 5142327360 is 637232415.

It is not an unprimeable number, because it can be changed into a prime (5142327361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 230290 + ... + 251630.

It is an arithmetic number, because the mean of its divisors is an integer number (146363436).

Almost surely, 25142327360 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 5142327360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8196352416).

5142327360 is an abundant number, since it is smaller than the sum of its proper divisors (11250377472).

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

5142327360 is a wasteful number, since it uses less digits than its factorization.

5142327360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21612 (or 21602 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 5142327360 is about 71710.0227304385. The cubic root of 5142327360 is about 1726.0494752204.

Adding to 5142327360 its reverse (637232415), we get a palindrome (5779559775).

The spelling of 5142327360 in words is "five billion, one hundred forty-two million, three hundred twenty-seven thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 251 320 480 502 753 960 1004 1255 1506 2008 2510 3012 3765 4016 5020 6024 7530 8032 10040 12048 15060 16064 20080 21341 24096 30120 40160 42682 48192 60240 64023 80320 85364 106705 120480 128046 170728 213410 240960 256092 320115 341456 426820 512184 640230 682912 853640 1024368 1280460 1365824 1707280 2048736 2560920 3414560 4097472 5121840 5356591 6829120 10243680 10713182 16069773 20487360 21426364 26782955 32139546 42852728 53565910 64279092 80348865 85705456 107131820 128558184 160697730 171410912 214263640 257116368 321395460 342821824 428527280 514232736 642790920 857054560 1028465472 1285581840 1714109120 2571163680 5142327360