Search a number
-
+
706774770 = 2325131015981
BaseRepresentation
bin101010001000001…
…000011011110010
31211020220212201100
4222020020123302
52421413243040
6154044345230
723341325562
oct5210103362
91736825640
10706774770
11332a57389
12178845216
13b3571c30
1469c1cda2
15420aeb30
hex2a2086f2

706774770 has 96 divisors (see below), whose sum is σ = 1998897264. Its totient is φ = 172224000.

The previous prime is 706774763. The next prime is 706774781. The reversal of 706774770 is 77477607.

It can be written as a sum of positive squares in 8 ways, for example, as 163558521 + 543216249 = 12789^2 + 23307^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 115180 + ... + 121160.

Almost surely, 2706774770 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 706774770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (999448632).

706774770 is an abundant number, since it is smaller than the sum of its proper divisors (1292122494).

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

706774770 is a wasteful number, since it uses less digits than its factorization.

706774770 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6108 (or 6105 counting only the distinct ones).

The product of its (nonzero) digits is 403368, while the sum is 45.

The square root of 706774770 is about 26585.2359402733. The cubic root of 706774770 is about 890.7592603504.

The spelling of 706774770 in words is "seven hundred six million, seven hundred seventy-four thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 101 117 130 195 202 234 303 390 505 585 606 909 1010 1170 1313 1515 1818 2626 3030 3939 4545 5981 6565 7878 9090 11817 11962 13130 17943 19695 23634 29905 35886 39390 53829 59085 59810 77753 89715 107658 118170 155506 179430 233259 269145 388765 466518 538290 604081 699777 777530 1166295 1208162 1399554 1812243 2332590 3020405 3498885 3624486 5436729 6040810 6997770 7853053 9061215 10873458 15706106 18122430 23559159 27183645 39265265 47118318 54367290 70677477 78530530 117795795 141354954 235591590 353387385 706774770