Search a number
-
+
11172330 = 2345131061
BaseRepresentation
bin101010100111…
…100111101010
3210000121120000
4222213213222
510330003310
61035243430
7163651251
oct52474752
923017500
1011172330
116340a34
1238a9576
132412360
1416ab798
15eaa4c0
hexaa79ea

11172330 has 80 divisors (see below), whose sum is σ = 32382504. Its totient is φ = 2747520.

The previous prime is 11172313. The next prime is 11172341. The reversal of 11172330 is 3327111.

It can be written as a sum of positive squares in 4 ways, for example, as 7834401 + 3337929 = 2799^2 + 1827^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10000 + ... + 11060.

Almost surely, 211172330 is an apocalyptic number.

11172330 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 11172330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16191252).

11172330 is an abundant number, since it is smaller than the sum of its proper divisors (21210174).

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

11172330 is a wasteful number, since it uses less digits than its factorization.

11172330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1093 (or 1084 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 11172330 is about 3342.5035527281. The cubic root of 11172330 is about 223.5533857427.

Adding to 11172330 its reverse (3327111), we get a palindrome (14499441).

The spelling of 11172330 in words is "eleven million, one hundred seventy-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 81 90 117 130 135 162 195 234 270 351 390 405 585 702 810 1053 1061 1170 1755 2106 2122 3183 3510 5265 5305 6366 9549 10530 10610 13793 15915 19098 27586 28647 31830 41379 47745 57294 68965 82758 85941 95490 124137 137930 143235 171882 206895 248274 286470 372411 413790 429705 620685 744822 859410 1117233 1241370 1862055 2234466 3724110 5586165 11172330