Search a number
-
+
5682015680 = 265112370183
BaseRepresentation
bin1010100101010110…
…01010110111000000
3112122222201022012012
411102223022313000
543114044000210
62335453152052
7260543223245
oct52253126700
915588638165
105682015680
112456393530
121126a8b628
136c7242173
143bc8b75cc
15233c75305
hex152acadc0

5682015680 has 112 divisors (see below), whose sum is σ = 15402299904. Its totient is φ = 1976325120.

The previous prime is 5682015613. The next prime is 5682015719. The reversal of 5682015680 is 865102865.

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, 45869 + ... + 116051.

Almost surely, 25682015680 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 5682015680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7701149952).

5682015680 is an abundant number, since it is smaller than the sum of its proper divisors (9720284224).

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

5682015680 is a wasteful number, since it uses less digits than its factorization.

5682015680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70234 (or 70224 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 41.

The square root of 5682015680 is about 75379.1461877886. The cubic root of 5682015680 is about 1784.4353137467.

The spelling of 5682015680 in words is "five billion, six hundred eighty-two million, fifteen thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 32 40 44 46 55 64 80 88 92 110 115 160 176 184 220 230 253 320 352 368 440 460 506 704 736 880 920 1012 1265 1472 1760 1840 2024 2530 3520 3680 4048 5060 7360 8096 10120 16192 20240 40480 70183 80960 140366 280732 350915 561464 701830 772013 1122928 1403660 1544026 1614209 2245856 2807320 3088052 3228418 3860065 4491712 5614640 6176104 6456836 7720130 8071045 11229280 12352208 12913672 15440260 16142090 17756299 22458560 24704416 25827344 30880520 32284180 35512598 49408832 51654688 61761040 64568360 71025196 88781495 103309376 123522080 129136720 142050392 177562990 247044160 258273440 284100784 355125980 516546880 568201568 710251960 1136403136 1420503920 2841007840 5682015680