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868629780 = 223255239227
BaseRepresentation
bin110011110001100…
…011110100010100
32020112110222001100
4303301203310110
53234332123110
6222105430100
730345142224
oct6361436424
92215428040
10868629780
11406356457
12202a9b330
1310ac61b25
1483512084
15513d1bc0
hex33c63d14

868629780 has 72 divisors (see below), whose sum is σ = 2640167712. Its totient is φ = 231166656.

The previous prime is 868629763. The next prime is 868629781. The reversal of 868629780 is 87926868.

868629780 is a `hidden beast` number, since 8 + 6 + 8 + 629 + 7 + 8 + 0 = 666.

868629780 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 not an unprimeable number, because it can be changed into a prime (868629781) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89527 + ... + 98753.

It is an arithmetic number, because the mean of its divisors is an integer number (36668996).

Almost surely, 2868629780 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 868629780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1320083856).

868629780 is an abundant number, since it is smaller than the sum of its proper divisors (1771537932).

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

868629780 is a wasteful number, since it uses less digits than its factorization.

868629780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9765 (or 9760 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The square root of 868629780 is about 29472.5258503577. The cubic root of 868629780 is about 954.1388324250.

The spelling of 868629780 in words is "eight hundred sixty-eight million, six hundred twenty-nine thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 523 1046 1569 2092 2615 3138 4707 5230 6276 7845 9227 9414 10460 15690 18454 18828 23535 27681 31380 36908 46135 47070 55362 83043 92270 94140 110724 138405 166086 184540 276810 332172 415215 553620 830430 1660860 4825721 9651442 14477163 19302884 24128605 28954326 43431489 48257210 57908652 72385815 86862978 96514420 144771630 173725956 217157445 289543260 434314890 868629780