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270026820 = 223257415227
BaseRepresentation
bin10000000110000…
…100100001000100
3200211002210011100
4100012010201010
51023111324240
642443340100
76456122130
oct2006044104
9624083140
10270026820
11129472168
1276521630
1343c350ab
1427c103c0
1518a8ce30
hex10184844

270026820 has 144 divisors (see below), whose sum is σ = 959107968. Its totient is φ = 60203520.

The previous prime is 270026789. The next prime is 270026843. The reversal of 270026820 is 28620072.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49047 + ... + 54273.

It is an arithmetic number, because the mean of its divisors is an integer number (6660472).

Almost surely, 2270026820 is an apocalyptic number.

270026820 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 270026820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479553984).

270026820 is an abundant number, since it is smaller than the sum of its proper divisors (689081148).

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

270026820 is a wasteful number, since it uses less digits than its factorization.

270026820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5290 (or 5285 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 270026820 is about 16432.4928115000. The cubic root of 270026820 is about 646.3518070189.

Adding to 270026820 its reverse (28620072), we get a palindrome (298646892).

The spelling of 270026820 in words is "two hundred seventy million, twenty-six thousand, eight hundred twenty".

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 5227 5740 7380 8610 10332 10454 12915 15681 17220 20908 25830 26135 31362 36589 47043 51660 52270 62724 73178 78405 94086 104540 109767 146356 156810 182945 188172 214307 219534 235215 313620 329301 365890 428614 439068 470430 548835 642921 658602 731780 857228 940860 1071535 1097670 1285842 1317204 1500149 1646505 1928763 2143070 2195340 2571684 3000298 3214605 3293010 3857526 4286140 4500447 6000596 6429210 6586020 7500745 7715052 9000894 9643815 12858420 13501341 15001490 18001788 19287630 22502235 27002682 30002980 38575260 45004470 54005364 67506705 90008940 135013410 270026820