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11129250 = 2353111971
BaseRepresentation
bin101010011101…
…000110100010
3202221102110110
4222131012202
510322114000
61034312150
7163411536
oct52350642
922842413
1011129250
116311630
123888656
1323c8872
141699bc6
15e9c850
hexa9d1a2

11129250 has 128 divisors (see below), whose sum is σ = 32348160. Its totient is φ = 2520000.

The previous prime is 11129249. The next prime is 11129273. The reversal of 11129250 is 5292111.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 156715 + ... + 156785.

It is an arithmetic number, because the mean of its divisors is an integer number (252720).

Almost surely, 211129250 is an apocalyptic number.

11129250 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 11129250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16174080).

11129250 is an abundant number, since it is smaller than the sum of its proper divisors (21218910).

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

11129250 is a wasteful number, since it uses less digits than its factorization.

11129250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 21.

The square root of 11129250 is about 3336.0530571320. The cubic root of 11129250 is about 223.2656783760.

The spelling of 11129250 in words is "eleven million, one hundred twenty-nine thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 19 22 25 30 33 38 50 55 57 66 71 75 95 110 114 125 142 150 165 190 209 213 250 275 285 330 355 375 418 426 475 550 570 627 710 750 781 825 950 1045 1065 1254 1349 1375 1425 1562 1650 1775 2090 2130 2343 2375 2698 2750 2850 3135 3550 3905 4047 4125 4686 4750 5225 5325 6270 6745 7125 7810 8094 8250 8875 10450 10650 11715 13490 14250 14839 15675 17750 19525 20235 23430 26125 26625 29678 31350 33725 39050 40470 44517 52250 53250 58575 67450 74195 78375 89034 97625 101175 117150 148390 156750 168625 195250 202350 222585 292875 337250 370975 445170 505875 585750 741950 1011750 1112925 1854875 2225850 3709750 5564625 11129250