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855813900 = 2235223314001
BaseRepresentation
bin110011000000101…
…010111100001100
32012122100211222010
4303000222330030
53223042021100
6220531021220
730131204154
oct6300527414
92178324863
10855813900
113aa0a2717
121ba73a810
131083c5676
1481937764
15501ee750
hex3302af0c

855813900 has 144 divisors (see below), whose sum is σ = 2667829248. Its totient is φ = 211200000.

The previous prime is 855813839. The next prime is 855813947. The reversal of 855813900 is 9318558.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 211900 + ... + 215900.

It is an arithmetic number, because the mean of its divisors is an integer number (18526592).

Almost surely, 2855813900 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 855813900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1333914624).

855813900 is an abundant number, since it is smaller than the sum of its proper divisors (1812015348).

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

855813900 is a wasteful number, since it uses less digits than its factorization.

855813900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4072 (or 4065 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 39.

The square root of 855813900 is about 29254.2971202523. The cubic root of 855813900 is about 949.4230661355.

The spelling of 855813900 in words is "eight hundred fifty-five million, eight hundred thirteen thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 31 46 50 60 62 69 75 92 93 100 115 124 138 150 155 186 230 276 300 310 345 372 460 465 575 620 690 713 775 930 1150 1380 1426 1550 1725 1860 2139 2300 2325 2852 3100 3450 3565 4001 4278 4650 6900 7130 8002 8556 9300 10695 12003 14260 16004 17825 20005 21390 24006 35650 40010 42780 48012 53475 60015 71300 80020 92023 100025 106950 120030 124031 184046 200050 213900 240060 248062 276069 300075 368092 372093 400100 460115 496124 552138 600150 620155 744186 920230 1104276 1200300 1240310 1380345 1488372 1840460 1860465 2300575 2480620 2760690 2852713 3100775 3720930 4601150 5521380 5705426 6201550 6901725 7441860 8558139 9202300 9302325 11410852 12403100 13803450 14263565 17116278 18604650 27606900 28527130 34232556 37209300 42790695 57054260 71317825 85581390 142635650 171162780 213953475 285271300 427906950 855813900