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285985700 = 2252711132857
BaseRepresentation
bin10001000010111…
…100101110100100
3201221010120121222
4101002330232210
51041203020300
644213355512
710041560360
oct2102745644
9657116558
10285985700
11137482320
127b938b98
1347332010
1429da62a0
151a191785
hex110bcba4

285985700 has 144 divisors (see below), whose sum is σ = 833529984. Its totient is φ = 82252800.

The previous prime is 285985669. The next prime is 285985709. The reversal of 285985700 is 7589582.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (285985709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 98672 + ... + 101528.

Almost surely, 2285985700 is an apocalyptic number.

285985700 is a gapful number since it is divisible by the number (20) 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 285985700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416764992).

285985700 is an abundant number, since it is smaller than the sum of its proper divisors (547544284).

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

285985700 is a wasteful number, since it uses less digits than its factorization.

285985700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2902 (or 2895 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 44.

The square root of 285985700 is about 16911.1117316396. Note that the first 3 decimals coincide. The cubic root of 285985700 is about 658.8422463826.

The spelling of 285985700 in words is "two hundred eighty-five million, nine hundred eighty-five thousand, seven hundred".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 25 26 28 35 44 50 52 55 65 70 77 91 100 110 130 140 143 154 175 182 220 260 275 286 308 325 350 364 385 455 550 572 650 700 715 770 910 1001 1100 1300 1430 1540 1820 1925 2002 2275 2857 2860 3575 3850 4004 4550 5005 5714 7150 7700 9100 10010 11428 14285 14300 19999 20020 25025 28570 31427 37141 39998 50050 57140 62854 71425 74282 79996 99995 100100 125708 142850 148564 157135 185705 199990 219989 259987 285700 314270 371410 399980 408551 439978 499975 519974 628540 742820 785675 817102 879956 928525 999950 1039948 1099945 1299935 1571350 1634204 1857050 1999900 2042755 2199890 2599870 2859857 3142700 3714100 4085510 4399780 5199740 5499725 5719714 6499675 8171020 10213775 10999450 11439428 12999350 14299285 20427550 21998900 25998700 28598570 40855100 57197140 71496425 142992850 285985700