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11130192 = 2432372089
BaseRepresentation
bin101010011101…
…010101010000
3202221110202100
4222131111100
510322131232
61034320400
7163414353
oct52352520
922843670
1011130192
116312307
123889100
1323c9118
14169a29a
15e9cc7c
hexa9d550

11130192 has 60 divisors (see below), whose sum is σ = 32006260. Its totient is φ = 3608064.

The previous prime is 11130179. The next prime is 11130193. The reversal of 11130192 is 29103111.

It can be written as a sum of positive squares in 2 ways, for example, as 9884736 + 1245456 = 3144^2 + 1116^2 .

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 (11130193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4284 + ... + 6372.

Almost surely, 211130192 is an apocalyptic number.

11130192 is a gapful number since it is divisible by the number (12) 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 11130192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16003130).

11130192 is an abundant number, since it is smaller than the sum of its proper divisors (20876068).

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

11130192 is a wasteful number, since it uses less digits than its factorization.

11130192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2140 (or 2131 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

The square root of 11130192 is about 3336.1942389495. The cubic root of 11130192 is about 223.2719774029.

It can be divided in two parts, 111 and 30192, that added together give a palindrome (30303).

The spelling of 11130192 in words is "eleven million, one hundred thirty thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 222 296 333 444 592 666 888 1332 1776 2089 2664 4178 5328 6267 8356 12534 16712 18801 25068 33424 37602 50136 75204 77293 100272 150408 154586 231879 300816 309172 463758 618344 695637 927516 1236688 1391274 1855032 2782548 3710064 5565096 11130192