Search a number
-
+
5118360 = 23351317193
BaseRepresentation
bin10011100001100110011000
3100122001001220
4103201212120
52302241420
6301412040
761335222
oct23414630
910561056
105118360
112986555
12186a020
1310a2920
14973412
156b1840
hex4e1998

5118360 has 128 divisors (see below), whose sum is σ = 17599680. Its totient is φ = 1179648.

The previous prime is 5118359. The next prime is 5118367. The reversal of 5118360 is 638115.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 5118360.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5118367) 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, 26424 + ... + 26616.

Almost surely, 25118360 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 5118360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8799840).

5118360 is an abundant number, since it is smaller than the sum of its proper divisors (12481320).

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

5118360 is a wasteful number, since it uses less digits than its factorization.

5118360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 5118360 is about 2262.3792785473. The cubic root of 5118360 is about 172.3363707744.

The spelling of 5118360 in words is "five million, one hundred eighteen thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 17 20 24 26 30 34 39 40 51 52 60 65 68 78 85 102 104 120 130 136 156 170 193 195 204 221 255 260 312 340 386 390 408 442 510 520 579 663 680 772 780 884 965 1020 1105 1158 1326 1544 1560 1768 1930 2040 2210 2316 2509 2652 2895 3281 3315 3860 4420 4632 5018 5304 5790 6562 6630 7527 7720 8840 9843 10036 11580 12545 13124 13260 15054 16405 19686 20072 23160 25090 26248 26520 30108 32810 37635 39372 42653 49215 50180 60216 65620 75270 78744 85306 98430 100360 127959 131240 150540 170612 196860 213265 255918 301080 341224 393720 426530 511836 639795 853060 1023672 1279590 1706120 2559180 5118360