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11132550 = 232521113173
BaseRepresentation
bin101010011101…
…111010000110
3202221120222200
4222131322012
510322220200
61034335330
7163424262
oct52357206
922846880
1011132550
116314060
12388a546
1323ca210
14169b0a2
15e9d800
hexa9de86

11132550 has 144 divisors (see below), whose sum is σ = 35341488. Its totient is φ = 2476800.

The previous prime is 11132543. The next prime is 11132557. The reversal of 11132550 is 5523111.

11132550 is a `hidden beast` number, since 1 + 113 + 2 + 550 = 666.

It is an interprime number because it is at equal distance from previous prime (11132543) and next prime (11132557).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11132557) 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 71 ways as a sum of consecutive naturals, for example, 64264 + ... + 64436.

It is an arithmetic number, because the mean of its divisors is an integer number (245427).

Almost surely, 211132550 is an apocalyptic number.

11132550 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 11132550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17670744).

11132550 is an abundant number, since it is smaller than the sum of its proper divisors (24208938).

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

11132550 is a wasteful number, since it uses less digits than its factorization.

11132550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 11132550 is about 3336.5476169238. The cubic root of 11132550 is about 223.2877434726.

Adding to 11132550 its reverse (5523111), we get a palindrome (16655661).

It can be divided in two parts, 1113 and 2550, that added together give a palindrome (3663).

The spelling of 11132550 in words is "eleven million, one hundred thirty-two thousand, five hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 13 15 18 22 25 26 30 33 39 45 50 55 65 66 75 78 90 99 110 117 130 143 150 165 173 195 198 225 234 275 286 325 330 346 390 429 450 495 519 550 585 650 715 825 858 865 975 990 1038 1170 1287 1430 1557 1650 1730 1903 1950 2145 2249 2475 2574 2595 2925 3114 3575 3806 4290 4325 4498 4950 5190 5709 5850 6435 6747 7150 7785 8650 9515 10725 11245 11418 12870 12975 13494 15570 17127 19030 20241 21450 22490 24739 25950 28545 32175 33735 34254 38925 40482 47575 49478 56225 57090 64350 67470 74217 77850 85635 95150 101205 112450 123695 142725 148434 168675 171270 202410 222651 247390 285450 337350 371085 428175 445302 506025 618475 742170 856350 1012050 1113255 1236950 1855425 2226510 3710850 5566275 11132550