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282085420 = 225175711453
BaseRepresentation
bin10000110100000…
…100100000101100
3201122210102110011
4100310010200230
51034203213140
643554023004
76663454321
oct2064044054
9648712404
10282085420
11135258a51
127a577a64
1346597966
142966cb48
1519b70cea
hex10d0482c

282085420 has 48 divisors (see below), whose sum is σ = 628756128. Its totient is φ = 105937920.

The previous prime is 282085361. The next prime is 282085421. The reversal of 282085420 is 24580282.

It is not an unprimeable number, because it can be changed into a prime (282085421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 193414 + ... + 194866.

It is an arithmetic number, because the mean of its divisors is an integer number (13099086).

Almost surely, 2282085420 is an apocalyptic number.

282085420 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 282085420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314378064).

282085420 is an abundant number, since it is smaller than the sum of its proper divisors (346670708).

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

282085420 is a wasteful number, since it uses less digits than its factorization.

282085420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2050 (or 2048 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 31.

The square root of 282085420 is about 16795.3987746644. The cubic root of 282085420 is about 655.8334242682.

The spelling of 282085420 in words is "two hundred eighty-two million, eighty-five thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 571 1142 1453 2284 2855 2906 5710 5812 7265 9707 11420 14530 19414 24701 29060 38828 48535 49402 97070 98804 123505 194140 247010 494020 829663 1659326 3318652 4148315 8296630 14104271 16593260 28208542 56417084 70521355 141042710 282085420