Search a number
-
+
11171380 = 225111729103
BaseRepresentation
bin101010100111…
…011000110100
3210000120020211
4222213120310
510324441010
61035235204
7163645423
oct52473064
923016224
1011171380
116340250
1238a8b04
132411aac
1416ab2ba
15eaa08a
hexaa7634

11171380 has 96 divisors (see below), whose sum is σ = 28304640. Its totient is φ = 3655680.

The previous prime is 11171371. The next prime is 11171387. The reversal of 11171380 is 8317111.

11171380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×111713802 = 249599462208800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11171387) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108409 + ... + 108511.

It is an arithmetic number, because the mean of its divisors is an integer number (294840).

Almost surely, 211171380 is an apocalyptic number.

11171380 is a gapful number since it is divisible by the number (10) 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 11171380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14152320).

11171380 is an abundant number, since it is smaller than the sum of its proper divisors (17133260).

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

11171380 is a wasteful number, since it uses less digits than its factorization.

11171380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 22.

The square root of 11171380 is about 3342.3614406584. The cubic root of 11171380 is about 223.5470492030.

Adding to 11171380 its reverse (8317111), we get a palindrome (19488491).

The spelling of 11171380 in words is "eleven million, one hundred seventy-one thousand, three hundred eighty".

Divisors: 1 2 4 5 10 11 17 20 22 29 34 44 55 58 68 85 103 110 116 145 170 187 206 220 290 319 340 374 412 493 515 580 638 748 935 986 1030 1133 1276 1595 1751 1870 1972 2060 2266 2465 2987 3190 3502 3740 4532 4930 5423 5665 5974 6380 7004 8755 9860 10846 11330 11948 14935 17510 19261 21692 22660 27115 29870 32857 35020 38522 50779 54230 59740 65714 77044 96305 101558 108460 131428 164285 192610 203116 253895 328570 385220 507790 558569 657140 1015580 1117138 2234276 2792845 5585690 11171380