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281400020 = 225114312
BaseRepresentation
bin10000110001011…
…101001011010100
3201121111121020222
4100301131023110
51034014300040
643531213512
76654601136
oct2061351324
9647447228
10281400020
11134930000
127a2a7298
13463b79b5
1429531056
1519a87bb5
hex10c5d2d4

281400020 has 90 divisors (see below), whose sum is σ = 671675130. Its totient is φ = 99026400.

The previous prime is 281400019. The next prime is 281400029. The reversal of 281400020 is 20004182.

It can be written as a sum of positive squares in only one way, i.e., 225120016 + 56280004 = 15004^2 + 7502^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (281400029) 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 29 ways as a sum of consecutive naturals, for example, 9077405 + ... + 9077435.

It is an arithmetic number, because the mean of its divisors is an integer number (7463057).

Almost surely, 2281400020 is an apocalyptic number.

281400020 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 281400020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335837565).

281400020 is an abundant number, since it is smaller than the sum of its proper divisors (390275110).

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

281400020 is an equidigital number, since it uses as much as digits as its factorization.

281400020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 281400020 is about 16774.9819672034. The cubic root of 281400020 is about 655.3018207714.

The spelling of 281400020 in words is "two hundred eighty-one million, four hundred thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 110 121 124 155 220 242 310 341 484 605 620 682 961 1210 1331 1364 1705 1922 2420 2662 3410 3751 3844 4805 5324 6655 6820 7502 9610 10571 13310 14641 15004 18755 19220 21142 26620 29282 37510 41261 42284 52855 58564 73205 75020 82522 105710 116281 146410 165044 206305 211420 232562 292820 412610 453871 465124 581405 825220 907742 1162810 1279091 1815484 2269355 2325620 2558182 4538710 5116364 6395455 9077420 12790910 14070001 25581820 28140002 56280004 70350005 140700010 281400020