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282870140 = 225721716979
BaseRepresentation
bin10000110111000…
…100000101111100
3201201021021212212
4100313010011330
51034403321030
644022515552
710003233200
oct2067040574
9651237785
10282870140
11135744583
127a895bb8
13467b0ba7
14297d4b00
1519c78595
hex10dc417c

282870140 has 72 divisors (see below), whose sum is σ = 731702160. Its totient is φ = 91273728.

The previous prime is 282870127. The next prime is 282870149. The reversal of 282870140 is 41078282.

It is a super-2 number, since 2×2828701402 = 160031032207239200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 282870097 and 282870106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (282870149) 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 23 ways as a sum of consecutive naturals, for example, 8171 + ... + 25149.

It is an arithmetic number, because the mean of its divisors is an integer number (10162530).

Almost surely, 2282870140 is an apocalyptic number.

282870140 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 282870140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365851080).

282870140 is an abundant number, since it is smaller than the sum of its proper divisors (448832020).

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

282870140 is a wasteful number, since it uses less digits than its factorization.

282870140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17019 (or 17010 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 32.

The square root of 282870140 is about 16818.7437105154. The cubic root of 282870140 is about 656.4410051423.

The spelling of 282870140 in words is "two hundred eighty-two million, eight hundred seventy thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 49 68 70 85 98 119 140 170 196 238 245 340 476 490 595 833 980 1190 1666 2380 3332 4165 8330 16660 16979 33958 67916 84895 118853 169790 237706 288643 339580 475412 577286 594265 831971 1154572 1188530 1443215 1663942 2020501 2377060 2886430 3327884 4041002 4159855 5772860 8082004 8319710 10102505 14143507 16639420 20205010 28287014 40410020 56574028 70717535 141435070 282870140