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285214860 = 223257415521
BaseRepresentation
bin10001000000000…
…000100010001100
3201212200102020100
4101000000202030
51041003333420
644145051100
710032200130
oct2100004214
9655612210
10285214860
11136aa6167
127b626a90
13471221b8
1429c453c0
151a08d190
hex1100088c

285214860 has 144 divisors (see below), whose sum is σ = 1013044032. Its totient is φ = 63590400.

The previous prime is 285214799. The next prime is 285214861. The reversal of 285214860 is 68412582.

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

It is not an unprimeable number, because it can be changed into a prime (285214861) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48900 + ... + 54420.

It is an arithmetic number, because the mean of its divisors is an integer number (7035028).

Almost surely, 2285214860 is an apocalyptic number.

285214860 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 285214860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506522016).

285214860 is an abundant number, since it is smaller than the sum of its proper divisors (727829172).

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

285214860 is a wasteful number, since it uses less digits than its factorization.

285214860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5584 (or 5579 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 285214860 is about 16888.3054212079. The cubic root of 285214860 is about 658.2497704473.

The spelling of 285214860 in words is "two hundred eighty-five million, two hundred fourteen thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 41 42 45 60 63 70 82 84 90 105 123 126 140 164 180 205 210 246 252 287 315 369 410 420 492 574 615 630 738 820 861 1148 1230 1260 1435 1476 1722 1845 2460 2583 2870 3444 3690 4305 5166 5521 5740 7380 8610 10332 11042 12915 16563 17220 22084 25830 27605 33126 38647 49689 51660 55210 66252 77294 82815 99378 110420 115941 154588 165630 193235 198756 226361 231882 248445 331260 347823 386470 452722 463764 496890 579705 679083 695646 772940 905444 993780 1131805 1159410 1358166 1391292 1584527 1739115 2037249 2263610 2318820 2716332 3169054 3395415 3478230 4074498 4527220 4753581 6338108 6790830 6956460 7922635 8148996 9507162 10186245 13581660 14260743 15845270 19014324 20372490 23767905 28521486 31690540 40744980 47535810 57042972 71303715 95071620 142607430 285214860