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11138292 = 22321122557
BaseRepresentation
bin101010011111…
…010011110100
3202221212212100
4222133103310
510322411132
61034422100
7163450104
oct52372364
922855770
1011138292
116318400
123891930
1323cca09
14169d204
15ea037c
hexa9f4f4

11138292 has 54 divisors (see below), whose sum is σ = 30959474. Its totient is φ = 3373920.

The previous prime is 11138287. The next prime is 11138293. The reversal of 11138292 is 29283111.

It can be written as a sum of positive squares in only one way, i.e., 9217296 + 1920996 = 3036^2 + 1386^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11138293) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3078 + ... + 5634.

Almost surely, 211138292 is an apocalyptic number.

11138292 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 11138292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15479737).

11138292 is an abundant number, since it is smaller than the sum of its proper divisors (19821182).

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

11138292 is a wasteful number, since it uses less digits than its factorization.

11138292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2589 (or 2573 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 11138292 is about 3337.4079762594. The cubic root of 11138292 is about 223.3261263485.

The spelling of 11138292 in words is "eleven million, one hundred thirty-eight thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 2178 2557 4356 5114 7671 10228 15342 23013 28127 30684 46026 56254 84381 92052 112508 168762 253143 309397 337524 506286 618794 928191 1012572 1237588 1856382 2784573 3712764 5569146 11138292