Search a number
-
+
5142312 = 2333719179
BaseRepresentation
bin10011100111011100101000
3100200020221000
4103213130220
52304023222
6302115000
761465110
oct23473450
910606830
105142312
1129a254a
12187ba60
1310b07b6
1497c040
156b89ac
hex4e7728

5142312 has 128 divisors (see below), whose sum is σ = 17280000. Its totient is φ = 1384128.

The previous prime is 5142289. The next prime is 5142323. The reversal of 5142312 is 2132415.

5142312 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28639 + ... + 28817.

It is an arithmetic number, because the mean of its divisors is an integer number (135000).

Almost surely, 25142312 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 5142312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8640000).

5142312 is an abundant number, since it is smaller than the sum of its proper divisors (12137688).

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

5142312 is a wasteful number, since it uses less digits than its factorization.

5142312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 210 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 5142312 is about 2267.6666421677. Note that the first 4 decimals coincide. The cubic root of 5142312 is about 172.6047756664.

Adding to 5142312 its reverse (2132415), we get a palindrome (7274727).

The spelling of 5142312 in words is "five million, one hundred forty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 27 28 36 38 42 54 56 57 63 72 76 84 108 114 126 133 152 168 171 179 189 216 228 252 266 342 358 378 399 456 504 513 532 537 684 716 756 798 1026 1064 1074 1197 1253 1368 1432 1512 1596 1611 2052 2148 2394 2506 3192 3222 3401 3591 3759 4104 4296 4788 4833 5012 6444 6802 7182 7518 9576 9666 10024 10203 11277 12888 13604 14364 15036 19332 20406 22554 23807 27208 28728 30072 30609 33831 38664 40812 45108 47614 61218 67662 71421 81624 90216 91827 95228 122436 135324 142842 183654 190456 214263 244872 270648 285684 367308 428526 571368 642789 734616 857052 1285578 1714104 2571156 5142312