Search a number
-
+
5262760080 = 243355345971
BaseRepresentation
bin1001110011010111…
…10101100010010000
3111120202210220122000
410321223311202100
541234231310310
62230115114000
7244262502564
oct47153654220
914522726560
105262760080
1122607665a6
12102a5a2900
1365b41b226
1437cd3d6a4
1520c05b4c0
hex139af5890

5262760080 has 160 divisors (see below), whose sum is σ = 18469710720. Its totient is φ = 1376893440.

The previous prime is 5262760073. The next prime is 5262760081. The reversal of 5262760080 is 800672625.

5262760080 is a `hidden beast` number, since 5 + 26 + 27 + 600 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5262760081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91495 + ... + 137465.

It is an arithmetic number, because the mean of its divisors is an integer number (115435692).

Almost surely, 25262760080 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 5262760080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9234855360).

5262760080 is an abundant number, since it is smaller than the sum of its proper divisors (13206950640).

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

5262760080 is a wasteful number, since it uses less digits than its factorization.

5262760080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46046 (or 46034 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 5262760080 is about 72544.8832103271. The cubic root of 5262760080 is about 1739.4202587036.

The spelling of 5262760080 in words is "five billion, two hundred sixty-two million, seven hundred sixty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 53 54 60 72 80 90 106 108 120 135 144 159 180 212 216 240 265 270 318 360 424 432 477 530 540 636 720 795 848 954 1060 1080 1272 1431 1590 1908 2120 2160 2385 2544 2862 3180 3816 4240 4770 5724 6360 7155 7632 9540 11448 12720 14310 19080 22896 28620 38160 45971 57240 91942 114480 137913 183884 229855 275826 367768 413739 459710 551652 689565 735536 827478 919420 1103304 1241217 1379130 1654956 1838840 2068695 2206608 2436463 2482434 2758260 3309912 3677680 4137390 4872926 4964868 5516520 6206085 6619824 7309389 8274780 9745852 9929736 11033040 12182315 12412170 14618778 16549560 19491704 19859472 21928167 24364630 24824340 29237556 33099120 36546945 38983408 43856334 48729260 49648680 58475112 65784501 73093890 87712668 97458520 99297360 109640835 116950224 131569002 146187780 175425336 194917040 219281670 263138004 292375560 328922505 350850672 438563340 526276008 584751120 657845010 877126680 1052552016 1315690020 1754253360 2631380040 5262760080