Search a number
-
+
791396940 = 2235431372239
BaseRepresentation
bin101111001010111…
…100001001001100
32001011011010111210
4233022330021030
53110044200230
6210310214420
725416522465
oct5712741114
92034133453
10791396940
113767a5264
121a1054410
13c7c60119
1477169d6c
1549727eb0
hex2f2bc24c

791396940 has 96 divisors (see below), whose sum is σ = 2285015040. Its totient is φ = 204535296.

The previous prime is 791396939. The next prime is 791396941. The reversal of 791396940 is 49693197.

791396940 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 (791396939) and next prime (791396941).

It is a self number, because there is not a number n which added to its sum of digits gives 791396940.

It is not an unprimeable number, because it can be changed into a prime (791396941) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 352341 + ... + 354579.

It is an arithmetic number, because the mean of its divisors is an integer number (23802240).

Almost surely, 2791396940 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 791396940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1142507520).

791396940 is an abundant number, since it is smaller than the sum of its proper divisors (1493618100).

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

791396940 is a wasteful number, since it uses less digits than its factorization.

791396940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2431 (or 2429 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 48.

The square root of 791396940 is about 28131.7781165713. The cubic root of 791396940 is about 924.9781109989.

The spelling of 791396940 in words is "seven hundred ninety-one million, three hundred ninety-six thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 137 172 215 258 274 411 430 516 548 645 685 822 860 1290 1370 1644 2055 2239 2580 2740 4110 4478 5891 6717 8220 8956 11195 11782 13434 17673 22390 23564 26868 29455 33585 35346 44780 58910 67170 70692 88365 96277 117820 134340 176730 192554 288831 306743 353460 385108 481385 577662 613486 920229 962770 1155324 1226972 1444155 1533715 1840458 1925540 2888310 3067430 3680916 4601145 5776620 6134860 9202290 13189949 18404580 26379898 39569847 52759796 65949745 79139694 131899490 158279388 197849235 263798980 395698470 791396940