Search a number
-
+
794363040 = 253251314211
BaseRepresentation
bin101111010110010…
…000010010100000
32001100201211020100
4233112100102200
53111324104130
6210453542400
725453655142
oct5726202240
92040654210
10794363040
11378440789
121a2044a00
13c875b203
14776dcc92
1549b11c60
hex2f5904a0

794363040 has 144 divisors (see below), whose sum is σ = 2732105376. Its totient is φ = 210163200.

The previous prime is 794363023. The next prime is 794363047. The reversal of 794363040 is 40363497.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 794362986 and 794363004.

It is not an unprimeable number, because it can be changed into a prime (794363047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 186535 + ... + 190745.

It is an arithmetic number, because the mean of its divisors is an integer number (18972954).

Almost surely, 2794363040 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 794363040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1366052688).

794363040 is an abundant number, since it is smaller than the sum of its proper divisors (1937742336).

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

794363040 is a wasteful number, since it uses less digits than its factorization.

794363040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4363 (or 4352 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 794363040 is about 28184.4467747728. The cubic root of 794363040 is about 926.1322545886.

The spelling of 794363040 in words is "seven hundred ninety-four million, three hundred sixty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 131 144 160 180 240 262 288 360 393 480 524 655 720 786 1048 1179 1310 1440 1572 1965 2096 2358 2620 3144 3930 4192 4211 4716 5240 5895 6288 7860 8422 9432 10480 11790 12576 12633 15720 16844 18864 20960 21055 23580 25266 31440 33688 37728 37899 42110 47160 50532 62880 63165 67376 75798 84220 94320 101064 126330 134752 151596 168440 188640 189495 202128 252660 303192 336880 378990 404256 505320 551641 606384 673760 757980 1010640 1103282 1212768 1515960 1654923 2021280 2206564 2758205 3031920 3309846 4413128 4964769 5516410 6063840 6619692 8274615 8826256 9929538 11032820 13239384 16549230 17652512 19859076 22065640 24823845 26478768 33098460 39718152 44131280 49647690 52957536 66196920 79436304 88262560 99295380 132393840 158872608 198590760 264787680 397181520 794363040