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11133150 = 2352723461
BaseRepresentation
bin101010011110…
…000011011110
3202221121210220
4222132003132
510322230100
61034342210
7163426110
oct52360336
922847726
1011133150
116314556
12388a966
1323ca582
14169b3b0
15e9daa0
hexa9e0de

11133150 has 96 divisors (see below), whose sum is σ = 32997888. Its totient is φ = 2428800.

The previous prime is 11133137. The next prime is 11133179. The reversal of 11133150 is 5133111.

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

It is a congruent number.

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, 23920 + ... + 24380.

It is an arithmetic number, because the mean of its divisors is an integer number (343728).

Almost surely, 211133150 is an apocalyptic number.

11133150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11133150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16498944).

11133150 is an abundant number, since it is smaller than the sum of its proper divisors (21864738).

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

11133150 is a wasteful number, since it uses less digits than its factorization.

11133150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 15.

The square root of 11133150 is about 3336.6375290103. The cubic root of 11133150 is about 223.2917548398.

Adding to 11133150 its reverse (5133111), we get a palindrome (16266261).

The spelling of 11133150 in words is "eleven million, one hundred thirty-three thousand, one hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 23 25 30 35 42 46 50 69 70 75 105 115 138 150 161 175 210 230 322 345 350 461 483 525 575 690 805 922 966 1050 1150 1383 1610 1725 2305 2415 2766 3227 3450 4025 4610 4830 6454 6915 8050 9681 10603 11525 12075 13830 16135 19362 21206 23050 24150 31809 32270 34575 48405 53015 63618 69150 74221 80675 96810 106030 148442 159045 161350 222663 242025 265075 318090 371105 445326 484050 530150 742210 795225 1113315 1590450 1855525 2226630 3711050 5566575 11133150