Search a number
-
+
856250640 = 243257169891
BaseRepresentation
bin110011000010010…
…101100100010000
32012200012001001200
4303002111210100
53223200010030
6220544231200
730135003360
oct6302254420
92180161050
10856250640
113aa370863
121ba90b500
131085193ab
1481a0c9a0
1550288d60
hex33095910

856250640 has 120 divisors (see below), whose sum is σ = 3286390848. Its totient is φ = 195713280.

The previous prime is 856250627. The next prime is 856250641. The reversal of 856250640 is 46052658.

856250640 is a `hidden beast` number, since 8 + 5 + 6 + 2 + 5 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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 = 856250595 and 856250604.

It is not an unprimeable number, because it can be changed into a prime (856250641) 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, 79906 + ... + 89985.

Almost surely, 2856250640 is an apocalyptic number.

856250640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

856250640 is an abundant number, since it is smaller than the sum of its proper divisors (2430140208).

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

856250640 is a wasteful number, since it uses less digits than its factorization.

856250640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169917 (or 169908 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 856250640 is about 29261.7607125750. The cubic root of 856250640 is about 949.5845422519.

The spelling of 856250640 in words is "eight hundred fifty-six million, two hundred fifty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 5040 169891 339782 509673 679564 849455 1019346 1189237 1359128 1529019 1698910 2038692 2378474 2548365 2718256 3058038 3397820 3567711 4077384 4756948 5096730 5946185 6116076 6795640 7135422 7645095 8154768 9513896 10193460 10703133 11892370 12232152 13591280 14270844 15290190 17838555 19027792 20386920 21406266 23784740 24464304 28541688 30580380 35677110 40773840 42812532 47569480 53515665 57083376 61160760 71354220 85625064 95138960 107031330 122321520 142708440 171250128 214062660 285416880 428125320 856250640