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836100020 = 225722726309
BaseRepresentation
bin110001110101011…
…101111110110100
32011021021021121102
4301311131332310
53203020200040
6214544305232
726501506250
oct6165357664
92137237542
10836100020
11399a58358
121b4012218
131042b2552
147d085260
154d608515
hex31d5dfb4

836100020 has 48 divisors (see below), whose sum is σ = 2015556480. Its totient is φ = 285389184.

The previous prime is 836099969. The next prime is 836100043. The reversal of 836100020 is 20001638.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 836099965 and 836100001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18626 + ... + 44934.

It is an arithmetic number, because the mean of its divisors is an integer number (41990760).

Almost surely, 2836100020 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 836100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1007778240).

836100020 is an abundant number, since it is smaller than the sum of its proper divisors (1179456460).

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

836100020 is a wasteful number, since it uses less digits than its factorization.

836100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26552 (or 26550 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 836100020 is about 28915.3941698881. The cubic root of 836100020 is about 942.0762992217.

Adding to 836100020 its reverse (20001638), we get a palindrome (856101658).

The spelling of 836100020 in words is "eight hundred thirty-six million, one hundred thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 227 454 908 1135 1589 2270 3178 4540 6356 7945 15890 26309 31780 52618 105236 131545 184163 263090 368326 526180 736652 920815 1841630 3683260 5972143 11944286 23888572 29860715 41805001 59721430 83610002 119442860 167220004 209025005 418050010 836100020