Search a number
-
+
794264240 = 245711128939
BaseRepresentation
bin101111010101111…
…000001010110000
32001100112210201002
4233111320022300
53111312423430
6210451501132
725453064120
oct5725701260
92040483632
10794264240
11378383530
121a1bb77a8
13c8725253
14776b4c80
1549ae2845
hex2f5782b0

794264240 has 80 divisors (see below), whose sum is σ = 2302352640. Its totient is φ = 247560960.

The previous prime is 794264173. The next prime is 794264243. The reversal of 794264240 is 42462497.

794264240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 794264194 and 794264203.

It is not an unprimeable number, because it can be changed into a prime (794264243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58310 + ... + 70629.

It is an arithmetic number, because the mean of its divisors is an integer number (28779408).

Almost surely, 2794264240 is an apocalyptic number.

794264240 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

794264240 is an abundant number, since it is smaller than the sum of its proper divisors (1508088400).

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

794264240 is a wasteful number, since it uses less digits than its factorization.

794264240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128970 (or 128964 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 38.

The square root of 794264240 is about 28182.6939805264. The cubic root of 794264240 is about 926.0938566706.

The spelling of 794264240 in words is "seven hundred ninety-four million, two hundred sixty-four thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 176 220 280 308 385 440 560 616 770 880 1232 1540 3080 6160 128939 257878 515756 644695 902573 1031512 1289390 1418329 1805146 2063024 2578780 2836658 3610292 4512865 5157560 5673316 7091645 7220584 9025730 9928303 10315120 11346632 14183290 14441168 18051460 19856606 22693264 28366580 36102920 39713212 49641515 56733160 72205840 79426424 99283030 113466320 158852848 198566060 397132120 794264240