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811056240 = 2436513907
BaseRepresentation
bin110000010101111…
…011110001110000
32002112010221000000
4300111323301300
53130112244430
6212251430000
726045602311
oct6025736160
92075127000
10811056240
11386902615
121a7755300
13cc054447
1479a06608
154b30ce60
hex3057bc70

811056240 has 140 divisors (see below), whose sum is σ = 2827468584. Its totient is φ = 216266112.

The previous prime is 811056221. The next prime is 811056241. The reversal of 811056240 is 42650118.

811056240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (811056241) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 51367 + ... + 65273.

Almost surely, 2811056240 is an apocalyptic number.

811056240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 811056240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1413734292).

811056240 is an abundant number, since it is smaller than the sum of its proper divisors (2016412344).

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

811056240 is a wasteful number, since it uses less digits than its factorization.

811056240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13938 (or 13917 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 811056240 is about 28479.0491414303. The cubic root of 811056240 is about 932.5747589128.

The spelling of 811056240 in words is "eight hundred eleven million, fifty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 243 270 324 360 405 432 486 540 648 720 729 810 972 1080 1215 1296 1458 1620 1944 2160 2430 2916 3240 3645 3888 4860 5832 6480 7290 9720 11664 13907 14580 19440 27814 29160 41721 55628 58320 69535 83442 111256 125163 139070 166884 208605 222512 250326 278140 333768 375489 417210 500652 556280 625815 667536 750978 834420 1001304 1112560 1126467 1251630 1501956 1668840 1877445 2002608 2252934 2503260 3003912 3337680 3379401 3754890 4505868 5006520 5632335 6007824 6758802 7509780 9011736 10013040 10138203 11264670 13517604 15019560 16897005 18023472 20276406 22529340 27035208 30039120 33794010 40552812 45058680 50691015 54070416 67588020 81105624 90117360 101382030 135176040 162211248 202764060 270352080 405528120 811056240