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675286820 = 225132241829
BaseRepresentation
bin101000010000000…
…000111100100100
31202001200010100222
4220100000330210
52340333134240
6151001423512
722506562145
oct5020007444
91661603328
10675286820
113171aaa8a
1216a19ab98
13a9b98900
1465983acc
153e43eeb5
hex28400f24

675286820 has 72 divisors (see below), whose sum is σ = 1543809960. Its totient is φ = 248002560.

The previous prime is 675286819. The next prime is 675286823. The reversal of 675286820 is 28682576.

It can be written as a sum of positive squares in 12 ways, for example, as 269747776 + 405539044 = 16424^2 + 20138^2 .

It is not an unprimeable number, because it can be changed into a prime (675286823) 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, 814166 + ... + 814994.

It is an arithmetic number, because the mean of its divisors is an integer number (21441805).

Almost surely, 2675286820 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 675286820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771904980).

675286820 is an abundant number, since it is smaller than the sum of its proper divisors (868523140).

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

675286820 is a wasteful number, since it uses less digits than its factorization.

675286820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 44.

The square root of 675286820 is about 25986.2813807593. The cubic root of 675286820 is about 877.3295507983.

The spelling of 675286820 in words is "six hundred seventy-five million, two hundred eighty-six thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 241 260 338 482 676 829 845 964 1205 1658 1690 2410 3133 3316 3380 4145 4820 6266 8290 10777 12532 15665 16580 21554 31330 40729 43108 53885 62660 81458 107770 140101 162916 199789 203645 215540 280202 399578 407290 560404 700505 799156 814580 998945 1401010 1997890 2597257 2802020 3995780 5194514 10389028 12986285 25972570 33764341 51945140 67528682 135057364 168821705 337643410 675286820