Search a number
-
+
5355035880 = 2335592712791
BaseRepresentation
bin1001111110010111…
…10101110011101000
3111211012110000020020
410333023311303220
541431342122010
62243213000440
7246463024335
oct47713656350
914735400206
105355035880
1122a8861797
121055483120
13674588cac
1438b2bd98c
152151d7470
hex13f2f5ce8

5355035880 has 128 divisors (see below), whose sum is σ = 16403558400. Its totient is φ = 1398124800.

The previous prime is 5355035869. The next prime is 5355035891. The reversal of 5355035880 is 885305535.

It is an interprime number because it is at equal distance from previous prime (5355035869) and next prime (5355035891).

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, 1917285 + ... + 1920075.

It is an arithmetic number, because the mean of its divisors is an integer number (128152800).

Almost surely, 25355035880 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 5355035880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8201779200).

5355035880 is an abundant number, since it is smaller than the sum of its proper divisors (11048522520).

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

5355035880 is a wasteful number, since it uses less digits than its factorization.

5355035880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3135 (or 3131 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 42.

The square root of 5355035880 is about 73178.1106615906. The cubic root of 5355035880 is about 1749.5275873136.

The spelling of 5355035880 in words is "five billion, three hundred fifty-five million, thirty-five thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 59 60 118 120 177 236 271 295 354 472 542 590 708 813 885 1084 1180 1355 1416 1626 1770 2168 2360 2710 2791 3252 3540 4065 5420 5582 6504 7080 8130 8373 10840 11164 13955 15989 16260 16746 22328 27910 31978 32520 33492 41865 47967 55820 63956 66984 79945 83730 95934 111640 127912 159890 164669 167460 191868 239835 319780 329338 334920 383736 479670 494007 639560 658676 756361 823345 959340 988014 1317352 1512722 1646690 1918680 1976028 2269083 2470035 3025444 3293380 3781805 3952056 4538166 4940070 6050888 6586760 7563610 9076332 9880140 11345415 15127220 18152664 19760280 22690830 30254440 44625299 45381660 89250598 90763320 133875897 178501196 223126495 267751794 357002392 446252990 535503588 669379485 892505980 1071007176 1338758970 1785011960 2677517940 5355035880