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11132442 = 2321943757
BaseRepresentation
bin101010011101…
…111000011010
3202221120211200
4222131320122
510322214232
61034335030
7163424046
oct52357032
922846750
1011132442
116313a72
12388a476
1323ca159
14169b026
15e9d77c
hexa9de1a

11132442 has 48 divisors (see below), whose sum is σ = 26014560. Its totient is φ = 3429216.

The previous prime is 11132419. The next prime is 11132447. The reversal of 11132442 is 24423111.

11132442 = T1073 + T1074 + ... + T1091.

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 (11132447) 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 23 ways as a sum of consecutive naturals, for example, 14328 + ... + 15084.

It is an arithmetic number, because the mean of its divisors is an integer number (541970).

Almost surely, 211132442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11132442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13007280).

11132442 is an abundant number, since it is smaller than the sum of its proper divisors (14882118).

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

11132442 is a wasteful number, since it uses less digits than its factorization.

11132442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827 (or 824 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 11132442 is about 3336.5314324909. The cubic root of 11132442 is about 223.2870214112.

Adding to 11132442 its reverse (24423111), we get a palindrome (35555553).

It can be divided in two parts, 1113 and 2442, that multiplied together give a triangular number (2717946 = T2331).

The spelling of 11132442 in words is "eleven million, one hundred thirty-two thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 19 38 43 57 86 114 129 171 258 342 387 757 774 817 1514 1634 2271 2451 4542 4902 6813 7353 13626 14383 14706 28766 32551 43149 65102 86298 97653 129447 195306 258894 292959 585918 618469 1236938 1855407 3710814 5566221 11132442