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10273284 = 22337107127
BaseRepresentation
bin100111001100…
…001000000100
3201022221022000
4213030020010
510112221114
61004105300
7153215160
oct47141004
921287260
1010273284
11588751a
123535230
132189088
141515ca0
15d7de09
hex9cc204

10273284 has 96 divisors (see below), whose sum is σ = 30965760. Its totient is φ = 2884896.

The previous prime is 10273283. The next prime is 10273297. The reversal of 10273284 is 48237201.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10273283) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80829 + ... + 80955.

It is an arithmetic number, because the mean of its divisors is an integer number (322560).

Almost surely, 210273284 is an apocalyptic number.

10273284 is a gapful number since it is divisible by the number (14) 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 10273284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15482880).

10273284 is an abundant number, since it is smaller than the sum of its proper divisors (20692476).

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

10273284 is a wasteful number, since it uses less digits than its factorization.

10273284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 10273284 is about 3205.1964058385. The cubic root of 10273284 is about 217.3884326740.

The spelling of 10273284 in words is "ten million, two hundred seventy-three thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 107 108 126 127 189 214 252 254 321 378 381 428 508 642 749 756 762 889 963 1143 1284 1498 1524 1778 1926 2247 2286 2667 2889 2996 3429 3556 3852 4494 4572 5334 5778 6741 6858 8001 8988 10668 11556 13482 13589 13716 16002 20223 24003 26964 27178 32004 40446 40767 48006 54356 80892 81534 95123 96012 122301 163068 190246 244602 285369 366903 380492 489204 570738 733806 856107 1141476 1467612 1712214 2568321 3424428 5136642 10273284