Search a number
-
+
11247000 = 2335323163
BaseRepresentation
bin101010111001…
…110110011000
3210011101222120
4222321312120
510334401000
61041021240
7164412042
oct52716630
923141876
1011247000
116392046
123924820
13243a33b
1416caa92
15ec26a0
hexab9d98

11247000 has 128 divisors (see below), whose sum is σ = 36840960. Its totient is φ = 2851200.

The previous prime is 11246999. The next prime is 11247007. The reversal of 11247000 is 74211.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11247007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68919 + ... + 69081.

It is an arithmetic number, because the mean of its divisors is an integer number (287820).

Almost surely, 211247000 is an apocalyptic number.

11247000 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 11247000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18420480).

11247000 is an abundant number, since it is smaller than the sum of its proper divisors (25593960).

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

11247000 is a wasteful number, since it uses less digits than its factorization.

11247000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 11247000 is about 3353.6547228360. The cubic root of 11247000 is about 224.0503182027.

The spelling of 11247000 in words is "eleven million, two hundred forty-seven thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 25 30 40 46 50 60 69 75 92 100 115 120 125 138 150 163 184 200 230 250 276 300 326 345 375 460 489 500 552 575 600 652 690 750 815 920 978 1000 1150 1304 1380 1500 1630 1725 1956 2300 2445 2760 2875 3000 3260 3450 3749 3912 4075 4600 4890 5750 6520 6900 7498 8150 8625 9780 11247 11500 12225 13800 14996 16300 17250 18745 19560 20375 22494 23000 24450 29992 32600 34500 37490 40750 44988 48900 56235 61125 69000 74980 81500 89976 93725 97800 112470 122250 149960 163000 187450 224940 244500 281175 374900 449880 468625 489000 562350 749800 937250 1124700 1405875 1874500 2249400 2811750 3749000 5623500 11247000