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11052132 = 22371329349
BaseRepresentation
bin101010001010…
…010001100100
3202210111200020
4222022101210
510312132012
61032515140
7162640650
oct52122144
922714606
1011052132
1162696a3
12384bab0
13239c730
141679a60
15e84a8c
hexa8a464

11052132 has 96 divisors (see below), whose sum is σ = 32928000. Its totient is φ = 2806272.

The previous prime is 11052131. The next prime is 11052169. The reversal of 11052132 is 23125011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11052131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31494 + ... + 31842.

It is an arithmetic number, because the mean of its divisors is an integer number (343000).

Almost surely, 211052132 is an apocalyptic number.

11052132 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 11052132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16464000).

11052132 is an abundant number, since it is smaller than the sum of its proper divisors (21875868).

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

11052132 is a wasteful number, since it uses less digits than its factorization.

11052132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 11052132 is about 3324.4746953466. The cubic root of 11052132 is about 222.7487904293.

Adding to 11052132 its reverse (23125011), we get a palindrome (34177143).

The spelling of 11052132 in words is "eleven million, fifty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 29 39 42 52 58 78 84 87 91 116 156 174 182 203 273 348 349 364 377 406 546 609 698 754 812 1047 1092 1131 1218 1396 1508 2094 2262 2436 2443 2639 4188 4524 4537 4886 5278 7329 7917 9074 9772 10121 10556 13611 14658 15834 18148 20242 27222 29316 30363 31668 31759 40484 54444 60726 63518 70847 95277 121452 127036 131573 141694 190554 212541 263146 283388 381108 394719 425082 526292 789438 850164 921011 1578876 1842022 2763033 3684044 5526066 11052132