Search a number
-
+
7630716060 = 223251129132893
BaseRepresentation
bin1110001101101001…
…10111110010011100
3201200210112112120100
413012310313302130
5111111430403220
63301104421100
7360045005412
oct70664676234
921623475510
107630716060
113266381a10
12158b617790
13947b97706
1452561b2b2
152e9da2d90
hex1c6d37c9c

7630716060 has 144 divisors (see below), whose sum is σ = 26121644640. Its totient is φ = 1786068480.

The previous prime is 7630716029. The next prime is 7630716109. The reversal of 7630716060 is 606170367.

7630716060 is a `hidden beast` number, since 7 + 630 + 7 + 16 + 0 + 6 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9027 + ... + 123866.

It is an arithmetic number, because the mean of its divisors is an integer number (181400310).

Almost surely, 27630716060 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 7630716060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13060822320).

7630716060 is an abundant number, since it is smaller than the sum of its proper divisors (18490928580).

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

7630716060 is a wasteful number, since it uses less digits than its factorization.

7630716060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132948 (or 132943 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 7630716060 is about 87353.9699155110. The cubic root of 7630716060 is about 1968.7402993929.

The spelling of 7630716060 in words is "seven billion, six hundred thirty million, seven hundred sixteen thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 29 30 33 36 44 45 55 58 60 66 87 90 99 110 116 132 145 165 174 180 198 220 261 290 319 330 348 396 435 495 522 580 638 660 870 957 990 1044 1276 1305 1595 1740 1914 1980 2610 2871 3190 3828 4785 5220 5742 6380 9570 11484 14355 19140 28710 57420 132893 265786 398679 531572 664465 797358 1196037 1328930 1461823 1594716 1993395 2392074 2657860 2923646 3853897 3986790 4385469 4784148 5847292 5980185 7309115 7707794 7973580 8770938 11561691 11960370 13156407 14618230 15415588 17541876 19269485 21927345 23123382 23920740 26312814 29236460 34685073 38538970 42392867 43854690 46246764 52625628 57808455 65782035 69370146 77077940 84785734 87709380 115616910 127178601 131564070 138740292 169571468 173425365 211964335 231233820 254357202 263128140 346850730 381535803 423928670 508714404 635893005 693701460 763071606 847857340 1271786010 1526143212 1907679015 2543572020 3815358030 7630716060