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11248440 = 2335721913
BaseRepresentation
bin101010111010…
…001100111000
3210011110221220
4222322030320
510334422230
61041032040
7164416200
oct52721470
923143856
1011248440
116393135
123925620
13243aba8
1416cb400
15ec2d10
hexaba338

11248440 has 96 divisors (see below), whose sum is σ = 39275280. Its totient is φ = 2569728.

The previous prime is 11248423. The next prime is 11248453. The reversal of 11248440 is 4484211.

11248440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11248440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4924 + ... + 6836.

Almost surely, 211248440 is an apocalyptic number.

11248440 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 11248440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19637640).

11248440 is an abundant number, since it is smaller than the sum of its proper divisors (28026840).

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

11248440 is a wasteful number, since it uses less digits than its factorization.

11248440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1941 (or 1930 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 11248440 is about 3353.8694071177. The cubic root of 11248440 is about 224.0598798248.

The spelling of 11248440 in words is "eleven million, two hundred forty-eight thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 49 56 60 70 84 98 105 120 140 147 168 196 210 245 280 294 392 420 490 588 735 840 980 1176 1470 1913 1960 2940 3826 5739 5880 7652 9565 11478 13391 15304 19130 22956 26782 28695 38260 40173 45912 53564 57390 66955 76520 80346 93737 107128 114780 133910 160692 187474 200865 229560 267820 281211 321384 374948 401730 468685 535640 562422 749896 803460 937370 1124844 1406055 1606920 1874740 2249688 2812110 3749480 5624220 11248440