Search a number
-
+
11132010 = 2325179691
BaseRepresentation
bin101010011101…
…110001101010
3202221120020200
4222131301222
510322211020
61034333030
7163422561
oct52356152
922846220
1011132010
11631370a
12388a176
1323c9bb6
14169abd8
15e9d590
hexa9dc6a

11132010 has 48 divisors (see below), whose sum is σ = 29147040. Its totient is φ = 2947680.

The previous prime is 11132003. The next prime is 11132029. The reversal of 11132010 is 1023111.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 11131983 and 11132001.

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 23 ways as a sum of consecutive naturals, for example, 15765 + ... + 16455.

It is an arithmetic number, because the mean of its divisors is an integer number (607230).

Almost surely, 211132010 is an apocalyptic number.

11132010 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 11132010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14573520).

11132010 is an abundant number, since it is smaller than the sum of its proper divisors (18015030).

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

11132010 is a wasteful number, since it uses less digits than its factorization.

11132010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 11132010 is about 3336.4666939743. The cubic root of 11132010 is about 223.2841331188.

Adding to 11132010 its reverse (1023111), we get a palindrome (12155121).

The spelling of 11132010 in words is "eleven million, one hundred thirty-two thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 179 358 537 691 895 1074 1382 1611 1790 2073 2685 3222 3455 4146 5370 6219 6910 8055 10365 12438 16110 20730 31095 62190 123689 247378 371067 618445 742134 1113201 1236890 1855335 2226402 3710670 5566005 11132010