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281242980 = 223254433527
BaseRepresentation
bin10000110000110…
…110110101100100
3201121012121211200
4100300312311210
51033444233410
643524002500
76653345244
oct2060666544
9647177750
10281242980
11134833017
127a230430
1346361385
14294cdb24
1519a563c0
hex10c36d64

281242980 has 72 divisors (see below), whose sum is σ = 855271872. Its totient is φ = 74807616.

The previous prime is 281242961. The next prime is 281242991. The reversal of 281242980 is 89242182.

It is a super-2 number, since 2×2812429802 = 158195227598560800, which contains 22 as substring.

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 77977 + ... + 81503.

It is an arithmetic number, because the mean of its divisors is an integer number (11878776).

Almost surely, 2281242980 is an apocalyptic number.

281242980 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 281242980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427635936).

281242980 is an abundant number, since it is smaller than the sum of its proper divisors (574028892).

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

281242980 is a wasteful number, since it uses less digits than its factorization.

281242980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3985 (or 3980 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 281242980 is about 16770.3005339797. The cubic root of 281242980 is about 655.1798973648.

The spelling of 281242980 in words is "two hundred eighty-one million, two hundred forty-two thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 443 886 1329 1772 2215 2658 3527 3987 4430 5316 6645 7054 7974 8860 10581 13290 14108 15948 17635 19935 21162 26580 31743 35270 39870 42324 52905 63486 70540 79740 105810 126972 158715 211620 317430 634860 1562461 3124922 4687383 6249844 7812305 9374766 14062149 15624610 18749532 23436915 28124298 31249220 46873830 56248596 70310745 93747660 140621490 281242980