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11321136 = 2432292711
BaseRepresentation
bin101011001011…
…111100110000
3210022011200100
4223023330300
510344234021
61042352400
7165141141
oct53137460
923264610
1011321136
116432812
12395b700
132464cc8
141709ac8
15ed9626
hexacbf30

11321136 has 60 divisors (see below), whose sum is σ = 32788080. Its totient is φ = 3642240.

The previous prime is 11321119. The next prime is 11321137. The reversal of 11321136 is 63112311.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (11321137) 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 11 ways as a sum of consecutive naturals, for example, 2821 + ... + 5531.

It is an arithmetic number, because the mean of its divisors is an integer number (546468).

Almost surely, 211321136 is an apocalyptic number.

11321136 is a gapful number since it is divisible by the number (16) 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 11321136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16394040).

11321136 is an abundant number, since it is smaller than the sum of its proper divisors (21466944).

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

11321136 is a wasteful number, since it uses less digits than its factorization.

11321136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2754 (or 2745 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The square root of 11321136 is about 3364.6895844936. The cubic root of 11321136 is about 224.5415256773.

Adding to 11321136 its reverse (63112311), we get a palindrome (74433447).

The spelling of 11321136 in words is "eleven million, three hundred twenty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 696 1044 1392 2088 2711 4176 5422 8133 10844 16266 21688 24399 32532 43376 48798 65064 78619 97596 130128 157238 195192 235857 314476 390384 471714 628952 707571 943428 1257904 1415142 1886856 2830284 3773712 5660568 11321136