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860066820 = 2232513734877
BaseRepresentation
bin110011010000111…
…001010000000100
32012221100220212200
4303100321100010
53230134114240
6221202114500
730212306304
oct6320712004
92187326780
10860066820
11401537a28
1220004ba30
131092543a2
1482323604
155078e930
hex33439404

860066820 has 72 divisors (see below), whose sum is σ = 2627987544. Its totient is φ = 227670528.

The previous prime is 860066819. The next prime is 860066861. The reversal of 860066820 is 28660068.

It can be written as a sum of positive squares in 4 ways, for example, as 204604416 + 655462404 = 14304^2 + 25602^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7222 + ... + 42098.

It is an arithmetic number, because the mean of its divisors is an integer number (36499827).

Almost surely, 2860066820 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 860066820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1313993772).

860066820 is an abundant number, since it is smaller than the sum of its proper divisors (1767920724).

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

860066820 is a wasteful number, since it uses less digits than its factorization.

860066820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35029 (or 35024 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 860066820 is about 29326.8958466456. The cubic root of 860066820 is about 950.9931700160.

The spelling of 860066820 in words is "eight hundred sixty million, sixty-six thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 137 180 274 411 548 685 822 1233 1370 1644 2055 2466 2740 4110 4932 6165 8220 12330 24660 34877 69754 104631 139508 174385 209262 313893 348770 418524 523155 627786 697540 1046310 1255572 1569465 2092620 3138930 4778149 6277860 9556298 14334447 19112596 23890745 28668894 43003341 47781490 57337788 71672235 86006682 95562980 143344470 172013364 215016705 286688940 430033410 860066820