Search a number
-
+
794735136 = 253213375737
BaseRepresentation
bin101111010111101…
…011001000100000
32001101102201122200
4233113223020200
53111423011021
6210505533200
725460065026
oct5727531040
92041381580
10794735136
113786752a8
121a21a4200
13c885b6a0
1477798716
1549b87126
hex2f5eb220

794735136 has 144 divisors (see below), whose sum is σ = 2500092504. Its totient is φ = 237883392.

The previous prime is 794735129. The next prime is 794735143. The reversal of 794735136 is 631537497.

794735136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (794735129) and next prime (794735143).

It can be written as a sum of positive squares in 4 ways, for example, as 459845136 + 334890000 = 21444^2 + 18300^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 794735091 and 794735100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135660 + ... + 141396.

Almost surely, 2794735136 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 794735136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1250046252).

794735136 is an abundant number, since it is smaller than the sum of its proper divisors (1705357368).

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

794735136 is a wasteful number, since it uses less digits than its factorization.

794735136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5803 (or 5792 counting only the distinct ones).

The product of its digits is 476280, while the sum is 45.

The square root of 794735136 is about 28191.0470894573. The cubic root of 794735136 is about 926.2768384865.

The spelling of 794735136 in words is "seven hundred ninety-four million, seven hundred thirty-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 37 39 48 52 72 74 78 96 104 111 117 144 148 156 208 222 234 288 296 312 333 416 444 468 481 592 624 666 888 936 962 1184 1248 1332 1443 1776 1872 1924 2664 2886 3552 3744 3848 4329 5328 5737 5772 7696 8658 10656 11474 11544 15392 17211 17316 22948 23088 34422 34632 45896 46176 51633 68844 69264 74581 91792 103266 137688 138528 149162 183584 206532 212269 223743 275376 298324 413064 424538 447486 550752 596648 636807 671229 826128 849076 894972 1193296 1273614 1342458 1652256 1698152 1789944 1910421 2386592 2547228 2684916 2759497 3396304 3579888 3820842 5094456 5369832 5518994 6792608 7159776 7641684 8278491 10188912 10739664 11037988 15283368 16556982 20377824 21479328 22075976 24835473 30566736 33113964 44151952 49670946 61133472 66227928 88303904 99341892 132455856 198683784 264911712 397367568 794735136