Search a number
-
+
11074500 = 22325323107
BaseRepresentation
bin101010001111…
…101111000100
3202211122100200
4222033233010
510313341000
61033210500
7163063113
oct52175704
922748320
1011074500
116284488
123860a30
1323a9978
141683c7a
15e8b500
hexa8fbc4

11074500 has 144 divisors (see below), whose sum is σ = 36796032. Its totient is φ = 2798400.

The previous prime is 11074451. The next prime is 11074513. The reversal of 11074500 is 547011.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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, 103447 + ... + 103553.

It is an arithmetic number, because the mean of its divisors is an integer number (255528).

Almost surely, 211074500 is an apocalyptic number.

11074500 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 11074500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18398016).

11074500 is an abundant number, since it is smaller than the sum of its proper divisors (25721532).

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

11074500 is a wasteful number, since it uses less digits than its factorization.

11074500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 11074500 is about 3327.8371354380. The cubic root of 11074500 is about 222.8989601720.

The spelling of 11074500 in words is "eleven million, seventy-four thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 25 30 36 45 46 50 60 69 75 90 92 100 107 115 125 138 150 180 207 214 225 230 250 276 300 321 345 375 414 428 450 460 500 535 575 642 690 750 828 900 963 1035 1070 1125 1150 1284 1380 1500 1605 1725 1926 2070 2140 2250 2300 2461 2675 2875 3210 3450 3852 4140 4500 4815 4922 5175 5350 5750 6420 6900 7383 8025 8625 9630 9844 10350 10700 11500 12305 13375 14766 16050 17250 19260 20700 22149 24075 24610 25875 26750 29532 32100 34500 36915 40125 44298 48150 49220 51750 53500 61525 73830 80250 88596 96300 103500 110745 120375 123050 147660 160500 184575 221490 240750 246100 307625 369150 442980 481500 553725 615250 738300 922875 1107450 1230500 1845750 2214900 2768625 3691500 5537250 11074500