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869772020 = 2251321715137
BaseRepresentation
bin110011110101111…
…010101011110100
32020121121222220112
4303311322223310
53240130201040
6222150122152
730360640325
oct6365725364
92217558815
10869772020
11406a66657
12203350358
1310b271a00
148372c44c
155155a365
hex33d7aaf4

869772020 has 72 divisors (see below), whose sum is σ = 2094312024. Its totient is φ = 302235648.

The previous prime is 869772019. The next prime is 869772049. The reversal of 869772020 is 20277968.

It can be written as a sum of positive squares in 12 ways, for example, as 321556624 + 548215396 = 17932^2 + 23414^2 .

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 23 ways as a sum of consecutive naturals, for example, 49892 + ... + 65028.

It is an arithmetic number, because the mean of its divisors is an integer number (29087667).

Almost surely, 2869772020 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 869772020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1047156012).

869772020 is an abundant number, since it is smaller than the sum of its proper divisors (1224540004).

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

869772020 is a wasteful number, since it uses less digits than its factorization.

869772020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15189 (or 15174 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 41.

The square root of 869772020 is about 29491.8975313560. The cubic root of 869772020 is about 954.5568771037.

The spelling of 869772020 in words is "eight hundred sixty-nine million, seven hundred seventy-two thousand, twenty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 130 169 170 221 260 338 340 442 676 845 884 1105 1690 2210 2873 3380 4420 5746 11492 14365 15137 28730 30274 57460 60548 75685 151370 196781 257329 302740 393562 514658 787124 983905 1029316 1286645 1967810 2558153 2573290 3345277 3935620 5116306 5146580 6690554 10232612 12790765 13381108 16726385 25581530 33452770 43488601 51163060 66905540 86977202 173954404 217443005 434886010 869772020