Search a number
-
+
675666900 = 223352251997
BaseRepresentation
bin101000010001011…
…101101111010100
31202002101102202000
4220101131233110
52340432320100
6151013515300
722513034226
oct5021355724
91662342660
10675666900
1131743a5a7
1216a342b30
13a9c9c8cc
1465a42416
153e4b7900
hex2845dbd4

675666900 has 144 divisors (see below), whose sum is σ = 2182985280. Its totient is φ = 179280000.

The previous prime is 675666799. The next prime is 675666931. The reversal of 675666900 is 9666576.

675666900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×6756669002 = 913051519511220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 677202 + ... + 678198.

It is an arithmetic number, because the mean of its divisors is an integer number (15159620).

Almost surely, 2675666900 is an apocalyptic number.

675666900 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 675666900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1091492640).

675666900 is an abundant number, since it is smaller than the sum of its proper divisors (1507318380).

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

675666900 is a wasteful number, since it uses less digits than its factorization.

675666900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1271 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 675666900 is about 25993.5934414617. The cubic root of 675666900 is about 877.4941193265.

The spelling of 675666900 in words is "six hundred seventy-five million, six hundred sixty-six thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 251 270 300 450 502 540 675 753 900 997 1004 1255 1350 1506 1994 2259 2510 2700 2991 3012 3765 3988 4518 4985 5020 5982 6275 6777 7530 8973 9036 9970 11295 11964 12550 13554 14955 15060 17946 18825 19940 22590 24925 25100 26919 27108 29910 33885 35892 37650 44865 45180 49850 53838 56475 59820 67770 74775 75300 89730 99700 107676 112950 134595 135540 149550 169425 179460 224325 225900 250247 269190 299100 338850 448650 500494 538380 672975 677700 750741 897300 1000988 1251235 1345950 1501482 2252223 2502470 2691900 3002964 3753705 4504446 5004940 6256175 6756669 7507410 9008892 11261115 12512350 13513338 15014820 18768525 22522230 25024700 27026676 33783345 37537050 45044460 56305575 67566690 75074100 112611150 135133380 168916725 225222300 337833450 675666900