Search a number
-
+
5182320 = 24351113151
BaseRepresentation
bin10011110001001101110000
3100202021210210
4103301031300
52311313240
6303024120
762022543
oct23611560
910667723
105182320
112a1a610
12189b040
1310c5a80
1498c85a
156c5780
hex4f1370

5182320 has 160 divisors (see below), whose sum is σ = 18998784. Its totient is φ = 1152000.

The previous prime is 5182319. The next prime is 5182339. The reversal of 5182320 is 232815.

5182320 = T111 + T112 + ... + T318.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34245 + ... + 34395.

Almost surely, 25182320 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 5182320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9499392).

5182320 is an abundant number, since it is smaller than the sum of its proper divisors (13816464).

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

5182320 is a wasteful number, since it uses less digits than its factorization.

5182320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 5182320 is about 2276.4709530323. The cubic root of 5182320 is about 173.0512505892.

The spelling of 5182320 in words is "five million, one hundred eighty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 13 15 16 20 22 24 26 30 33 39 40 44 48 52 55 60 65 66 78 80 88 104 110 120 130 132 143 151 156 165 176 195 208 220 240 260 264 286 302 312 330 390 429 440 453 520 528 572 604 624 660 715 755 780 858 880 906 1040 1144 1208 1320 1430 1510 1560 1661 1716 1812 1963 2145 2265 2288 2416 2640 2860 3020 3120 3322 3432 3624 3926 4290 4530 4983 5720 5889 6040 6644 6864 7248 7852 8305 8580 9060 9815 9966 11440 11778 12080 13288 15704 16610 17160 18120 19630 19932 21593 23556 24915 26576 29445 31408 33220 34320 36240 39260 39864 43186 47112 49830 58890 64779 66440 78520 79728 86372 94224 99660 107965 117780 129558 132880 157040 172744 199320 215930 235560 259116 323895 345488 398640 431860 471120 518232 647790 863720 1036464 1295580 1727440 2591160 5182320