[go: up one dir, main page]

Search a number
-
+
840963940 = 225192269433
BaseRepresentation
bin110010001000000…
…001011101100100
32011121102101122121
4302020001131210
53210241321230
6215240435324
726561034625
oct6210013544
92147371577
10840963940
113a177a723
121b5778b44
131052c63cb
147d98da4c
154dc6977a
hex32201764

840963940 has 72 divisors (see below), whose sum is σ = 1875114360. Its totient is φ = 316763136.

The previous prime is 840963931. The next prime is 840963941. The reversal of 840963940 is 49369048.

It can be written as a sum of positive squares in 4 ways, for example, as 22202944 + 818760996 = 4712^2 + 28614^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (840963941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1941964 + ... + 1942396.

It is an arithmetic number, because the mean of its divisors is an integer number (26043255).

Almost surely, 2840963940 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 840963940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937557180).

840963940 is an abundant number, since it is smaller than the sum of its proper divisors (1034150420).

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

840963940 is a wasteful number, since it uses less digits than its factorization.

840963940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 43.

The square root of 840963940 is about 28999.3782691974. The cubic root of 840963940 is about 943.8995766605.

The spelling of 840963940 in words is "eight hundred forty million, nine hundred sixty-three thousand, nine hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 269 361 380 433 538 722 866 1076 1345 1444 1732 1805 2165 2690 3610 4330 5111 5380 7220 8227 8660 10222 16454 20444 25555 32908 41135 51110 82270 97109 102220 116477 156313 164540 194218 232954 312626 388436 465908 485545 582385 625252 781565 971090 1164770 1563130 1942180 2213063 2329540 3126260 4426126 8852252 11065315 22130630 42048197 44261260 84096394 168192788 210240985 420481970 840963940