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11238500 = 2253713219
BaseRepresentation
bin101010110111…
…110001100100
3210010222022202
4222313301210
510334113000
61040514032
7164345210
oct52676144
923128282
1011238500
116386719
12391b918
132436500
1416c7940
15ebedd5
hexab7c64

11238500 has 144 divisors (see below), whose sum is σ = 31973760. Its totient is φ = 3369600.

The previous prime is 11238463. The next prime is 11238503. The reversal of 11238500 is 583211.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (11238503) 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 47 ways as a sum of consecutive naturals, for example, 591491 + ... + 591509.

It is an arithmetic number, because the mean of its divisors is an integer number (222040).

Almost surely, 211238500 is an apocalyptic number.

11238500 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 11238500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15986880).

11238500 is an abundant number, since it is smaller than the sum of its proper divisors (20735260).

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

11238500 is a wasteful number, since it uses less digits than its factorization.

11238500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 11238500 is about 3352.3872091392. The cubic root of 11238500 is about 223.9938614389.

The spelling of 11238500 in words is "eleven million, two hundred thirty-eight thousand, five hundred".

Divisors: 1 2 4 5 7 10 13 14 19 20 25 26 28 35 38 50 52 65 70 76 91 95 100 125 130 133 140 169 175 182 190 247 250 260 266 325 338 350 364 380 455 475 494 500 532 650 665 676 700 845 875 910 950 988 1183 1235 1300 1330 1625 1690 1729 1750 1820 1900 2275 2366 2375 2470 2660 3211 3250 3325 3380 3458 3500 4225 4550 4732 4750 4940 5915 6175 6422 6500 6650 6916 8450 8645 9100 9500 11375 11830 12350 12844 13300 16055 16625 16900 17290 21125 22477 22750 23660 24700 29575 30875 32110 33250 34580 42250 43225 44954 45500 59150 61750 64220 66500 80275 84500 86450 89908 112385 118300 123500 147875 160550 172900 216125 224770 295750 321100 401375 432250 449540 561925 591500 802750 864500 1123850 1605500 2247700 2809625 5619250 11238500