Search a number
-
+
11169144 = 233378389
BaseRepresentation
bin101010100110…
…110101111000
3210000110012000
4222212311320
510324403034
61035221000
7163636050
oct52466570
923013160
1011169144
1163395a8
1238a7760
132410a7c
1416aa560
15ea9599
hexaa6d78

11169144 has 128 divisors (see below), whose sum is σ = 36288000. Its totient is φ = 3117312.

The previous prime is 11169091. The next prime is 11169157. The reversal of 11169144 is 44196111.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

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 31 ways as a sum of consecutive naturals, for example, 125452 + ... + 125540.

It is an arithmetic number, because the mean of its divisors is an integer number (283500).

Almost surely, 211169144 is an apocalyptic number.

11169144 is a gapful number since it is divisible by the number (14) 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 11169144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18144000).

11169144 is an abundant number, since it is smaller than the sum of its proper divisors (25118856).

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

11169144 is a wasteful number, since it uses less digits than its factorization.

11169144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 184 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 11169144 is about 3342.0269298735. The cubic root of 11169144 is about 223.5321335718.

The spelling of 11169144 in words is "eleven million, one hundred sixty-nine thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 83 84 89 108 126 166 168 178 189 216 249 252 267 332 356 378 498 504 534 581 623 664 712 747 756 801 996 1068 1162 1246 1494 1512 1602 1743 1869 1992 2136 2241 2324 2403 2492 2988 3204 3486 3738 4482 4648 4806 4984 5229 5607 5976 6408 6972 7387 7476 8964 9612 10458 11214 13944 14774 14952 15687 16821 17928 19224 20916 22161 22428 29548 31374 33642 41832 44322 44856 51709 59096 62748 66483 67284 88644 103418 125496 132966 134568 155127 177288 199449 206836 265932 310254 398898 413672 465381 531864 620508 797796 930762 1241016 1396143 1595592 1861524 2792286 3723048 5584572 11169144