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869820112 = 24773191557
BaseRepresentation
bin110011110110000…
…110011011010000
32020121201102212201
4303312012123100
53240133220422
6222151132544
730361230460
oct6366063320
92217642781
10869820112
11406a997a7
12203374154
1310b28a875
1483741ba0
1551569727
hex33d866d0

869820112 has 80 divisors (see below), whose sum is σ = 1966159872. Its totient is φ = 365091840.

The previous prime is 869820073. The next prime is 869820137. The reversal of 869820112 is 211028968.

869820112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1561338 + ... + 1561894.

Almost surely, 2869820112 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 869820112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (983079936).

869820112 is an abundant number, since it is smaller than the sum of its proper divisors (1096339760).

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

869820112 is a wasteful number, since it uses less digits than its factorization.

869820112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 37.

The square root of 869820112 is about 29492.7128626717. The cubic root of 869820112 is about 954.5744701060.

The spelling of 869820112 in words is "eight hundred sixty-nine million, eight hundred twenty thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 56 73 112 146 191 292 382 511 557 584 764 1022 1114 1168 1337 1528 2044 2228 2674 3056 3899 4088 4456 5348 7798 8176 8912 10696 13943 15596 21392 27886 31192 40661 55772 62384 81322 97601 106387 111544 162644 195202 212774 223088 284627 325288 390404 425548 569254 650576 744709 780808 851096 1138508 1489418 1561616 1702192 2277016 2978836 4554032 5957672 7766251 11915344 15532502 31065004 54363757 62130008 108727514 124260016 217455028 434910056 869820112