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11284700 = 22527447
BaseRepresentation
bin101011000011…
…000011011100
3210020022200212
4223003003130
510342102300
61041511552
7164630000
oct53030334
923208625
1011284700
1164083a9
1239425b8
13245154b
1416da700
15ecd935
hexac30dc

11284700 has 90 divisors (see below), whose sum is σ = 29175216. Its totient is φ = 3786720.

The previous prime is 11284649. The next prime is 11284739. The reversal of 11284700 is 748211.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 240077 + ... + 240123.

Almost surely, 211284700 is an apocalyptic number.

11284700 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 11284700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14587608).

11284700 is an abundant number, since it is smaller than the sum of its proper divisors (17890516).

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

11284700 is an equidigital number, since it uses as much as digits as its factorization.

11284700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 23.

The square root of 11284700 is about 3359.2707541965. The cubic root of 11284700 is about 224.3003782704.

It can be divided in two parts, 112 and 84700, that multiplied together give a square (9486400 = 30802).

The spelling of 11284700 in words is "eleven million, two hundred eighty-four thousand, seven hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 47 49 50 70 94 98 100 140 175 188 196 235 245 329 343 350 470 490 658 686 700 940 980 1175 1225 1316 1372 1645 1715 2303 2350 2401 2450 3290 3430 4606 4700 4802 4900 6580 6860 8225 8575 9212 9604 11515 12005 16121 16450 17150 23030 24010 32242 32900 34300 46060 48020 57575 60025 64484 80605 112847 115150 120050 161210 225694 230300 240100 322420 403025 451388 564235 806050 1128470 1612100 2256940 2821175 5642350 11284700