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11253132 = 223211157181
BaseRepresentation
bin101010111011…
…010110001100
3210011201101200
4222323112030
510340100012
61041105500
7164435652
oct52732614
923151350
1011253132
116396710
123928290
132440077
1416ccdd2
15ec43dc
hexabb58c

11253132 has 72 divisors (see below), whose sum is σ = 31401552. Its totient is φ = 3369600.

The previous prime is 11253127. The next prime is 11253157. The reversal of 11253132 is 23135211.

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

It is a congruent number.

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, 62082 + ... + 62262.

Almost surely, 211253132 is an apocalyptic number.

11253132 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 11253132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15700776).

11253132 is an abundant number, since it is smaller than the sum of its proper divisors (20148420).

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

11253132 is a wasteful number, since it uses less digits than its factorization.

11253132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 354 counting only the distinct ones).

The product of its digits is 180, while the sum is 18.

The square root of 11253132 is about 3354.5688247523. The cubic root of 11253132 is about 224.0910291165.

Adding to 11253132 its reverse (23135211), we get a palindrome (34388343).

The spelling of 11253132 in words is "eleven million, two hundred fifty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 157 181 198 314 362 396 471 543 628 724 942 1086 1413 1629 1727 1884 1991 2172 2826 3258 3454 3982 5181 5652 5973 6516 6908 7964 10362 11946 15543 17919 20724 23892 28417 31086 35838 56834 62172 71676 85251 113668 170502 255753 312587 341004 511506 625174 937761 1023012 1250348 1875522 2813283 3751044 5626566 11253132