Search a number
-
+
5371103760 = 24351117119677
BaseRepresentation
bin1010000000010010…
…01000101000010000
3111212022200100012220
411000021020220100
542000000310020
62244545221040
7250046425431
oct50011105020
914768610186
105371103760
112306936830
12105a931780
136779c3709
1438d4a3488
1521680d240
hex140248a10

5371103760 has 160 divisors (see below), whose sum is σ = 19232733312. Its totient is φ = 1225482240.

The previous prime is 5371103753. The next prime is 5371103797. The reversal of 5371103760 is 673011735.

It is a super-2 number, since 2×53711037602 = 57697511201372275200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 14959 + ... + 104718.

Almost surely, 25371103760 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 5371103760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9616366656).

5371103760 is an abundant number, since it is smaller than the sum of its proper divisors (13861629552).

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

5371103760 is a wasteful number, since it uses less digits than its factorization.

5371103760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119721 (or 119715 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 33.

The square root of 5371103760 is about 73287.8145396627. The cubic root of 5371103760 is about 1751.2756695974.

The spelling of 5371103760 in words is "five billion, three hundred seventy-one million, one hundred three thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 17 20 22 24 30 33 34 40 44 48 51 55 60 66 68 80 85 88 102 110 120 132 136 165 170 176 187 204 220 240 255 264 272 330 340 374 408 440 510 528 561 660 680 748 816 880 935 1020 1122 1320 1360 1496 1870 2040 2244 2640 2805 2992 3740 4080 4488 5610 7480 8976 11220 14960 22440 44880 119677 239354 359031 478708 598385 718062 957416 1196770 1316447 1436124 1795155 1914832 2034509 2393540 2632894 2872248 3590310 3949341 4069018 4787080 5265788 5744496 6103527 6582235 7180620 7898682 8138036 9574160 10172545 10531576 12207054 13164470 14361240 15797364 16276072 19746705 20345090 21063152 22379599 24414108 26328940 28722480 30517635 31594728 32552144 39493410 40690180 44759198 48828216 52657880 61035270 63189456 67138797 78986820 81380360 89518396 97656432 105315760 111897995 122070540 134277594 157973640 162760720 179036792 223795990 244141080 268555188 315947280 335693985 358073584 447591980 488282160 537110376 671387970 895183960 1074220752 1342775940 1790367920 2685551880 5371103760