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10284220 = 2252379283
BaseRepresentation
bin100111001110…
…110010111100
3201100111022001
4213032302330
510113043340
61004232044
7153262102
oct47166274
921314261
1010284220
115894761
12353b624
13219104b
141519c72
15d8229a
hex9cecbc

10284220 has 48 divisors (see below), whose sum is σ = 22901760. Its totient is φ = 3871296.

The previous prime is 10284203. The next prime is 10284227. The reversal of 10284220 is 2248201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10284227) 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, 36199 + ... + 36481.

It is an arithmetic number, because the mean of its divisors is an integer number (477120).

Almost surely, 210284220 is an apocalyptic number.

10284220 is a gapful number since it is divisible by the number (10) 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 10284220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11450880).

10284220 is an abundant number, since it is smaller than the sum of its proper divisors (12617540).

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

10284220 is a wasteful number, since it uses less digits than its factorization.

10284220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 10284220 is about 3206.9019317715. The cubic root of 10284220 is about 217.4655426103.

The spelling of 10284220 in words is "ten million, two hundred eighty-four thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 79 92 115 158 230 283 316 395 460 566 790 1132 1415 1580 1817 2830 3634 5660 6509 7268 9085 13018 18170 22357 26036 32545 36340 44714 65090 89428 111785 130180 223570 447140 514211 1028422 2056844 2571055 5142110 10284220