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10284288 = 28371913
BaseRepresentation
bin100111001110…
…110100000000
3201100111101120
4213032310000
510113044123
61004232240
7153262230
oct47166400
921314346
1010284288
115894813
12353b680
1321910a1
141519cc0
15d822e3
hex9ced00

10284288 has 72 divisors (see below), whose sum is σ = 31297728. Its totient is φ = 2936832.

The previous prime is 10284283. The next prime is 10284293. The reversal of 10284288 is 88248201.

It is an interprime number because it is at equal distance from previous prime (10284283) and next prime (10284293).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10284283) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4420 + ... + 6332.

Almost surely, 210284288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10284288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15648864).

10284288 is an abundant number, since it is smaller than the sum of its proper divisors (21013440).

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

10284288 is an equidigital number, since it uses as much as digits as its factorization.

10284288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1939 (or 1925 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 33.

The square root of 10284288 is about 3206.9125338868. The cubic root of 10284288 is about 217.4660219085.

The spelling of 10284288 in words is "ten million, two hundred eighty-four thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 896 1344 1792 1913 2688 3826 5376 5739 7652 11478 13391 15304 22956 26782 30608 40173 45912 53564 61216 80346 91824 107128 122432 160692 183648 214256 244864 321384 367296 428512 489728 642768 734592 857024 1285536 1469184 1714048 2571072 3428096 5142144 10284288