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11006136 = 2332712153
BaseRepresentation
bin101001111111…
…000010111000
3202201011120200
4221333002320
510304144021
61031522200
7162356601
oct51770270
922634520
1011006136
116238089
123829360
13238480b
141666da8
15e76126
hexa7f0b8

11006136 has 48 divisors (see below), whose sum is σ = 30242160. Its totient is φ = 3615360.

The previous prime is 11006119. The next prime is 11006161. The reversal of 11006136 is 63160011.

It is a super-2 number, since 2×110061362 = 242270059300992, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 4036 + ... + 6188.

It is an arithmetic number, because the mean of its divisors is an integer number (630045).

Almost surely, 211006136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11006136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15121080).

11006136 is an abundant number, since it is smaller than the sum of its proper divisors (19236024).

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

11006136 is a wasteful number, since it uses less digits than its factorization.

11006136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2236 (or 2229 counting only the distinct ones).

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

The square root of 11006136 is about 3317.5496981959. The cubic root of 11006136 is about 222.4393539213.

Adding to 11006136 its reverse (63160011), we get a palindrome (74166147).

The spelling of 11006136 in words is "eleven million, six thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 71 72 142 213 284 426 568 639 852 1278 1704 2153 2556 4306 5112 6459 8612 12918 17224 19377 25836 38754 51672 77508 152863 155016 305726 458589 611452 917178 1222904 1375767 1834356 2751534 3668712 5503068 11006136