Search a number
-
+
5105316160 = 26575343003
BaseRepresentation
bin1001100000100110…
…01111000101000000
3111011210112221011201
410300103033011000
540423430104120
62202332350544
7240341320450
oct46023170500
914153487151
105105316160
11218a8aa65a
12ba5915454
13634914049
14366077d60
151ed30b40a
hex1304cf140

5105316160 has 112 divisors (see below), whose sum is σ = 14156228736. Its totient is φ = 1717327872.

The previous prime is 5105316143. The next prime is 5105316173. The reversal of 5105316160 is 616135015.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97219 + ... + 140221.

Almost surely, 25105316160 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 5105316160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7078114368).

5105316160 is an abundant number, since it is smaller than the sum of its proper divisors (9050912576).

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

5105316160 is a wasteful number, since it uses less digits than its factorization.

5105316160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43080 (or 43070 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 28.

The square root of 5105316160 is about 71451.4951558048. The cubic root of 5105316160 is about 1721.8984986236.

The spelling of 5105316160 in words is "five billion, one hundred five million, three hundred sixteen thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 53 56 64 70 80 106 112 140 160 212 224 265 280 320 371 424 448 530 560 742 848 1060 1120 1484 1696 1855 2120 2240 2968 3392 3710 4240 5936 7420 8480 11872 14840 16960 23744 29680 43003 59360 86006 118720 172012 215015 301021 344024 430030 602042 688048 860060 1204084 1376096 1505105 1720120 2279159 2408168 2752192 3010210 3440240 4558318 4816336 6020420 6880480 9116636 9632672 11395795 12040840 13760960 15954113 18233272 19265344 22791590 24081680 31908226 36466544 45583180 48163360 63816452 72933088 79770565 91166360 96326720 127632904 145866176 159541130 182332720 255265808 319082260 364665440 510531616 638164520 729330880 1021063232 1276329040 2552658080 5105316160