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11139072 = 21137237
BaseRepresentation
bin101010011111…
…100000000000
3202221220221020
4222133200000
510322422242
61034425440
7163452300
oct52374000
922856836
1011139072
116318a4a
123892280
132400189
14169d600
15ea06ec
hexa9f800

11139072 has 144 divisors (see below), whose sum is σ = 35479080. Its totient is φ = 3096576.

The previous prime is 11139071. The next prime is 11139083. The reversal of 11139072 is 27093111.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11139071) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 301038 + ... + 301074.

Almost surely, 211139072 is an apocalyptic number.

11139072 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 11139072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17739540).

11139072 is an abundant number, since it is smaller than the sum of its proper divisors (24340008).

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

11139072 is an equidigital number, since it uses as much as digits as its factorization.

11139072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 24.

The square root of 11139072 is about 3337.5248313683. The cubic root of 11139072 is about 223.3313393055.

The spelling of 11139072 in words is "eleven million, one hundred thirty-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 37 42 48 49 56 64 74 84 96 98 111 112 128 147 148 168 192 196 222 224 256 259 294 296 336 384 392 444 448 512 518 588 592 672 768 777 784 888 896 1024 1036 1176 1184 1344 1536 1554 1568 1776 1792 1813 2048 2072 2352 2368 2688 3072 3108 3136 3552 3584 3626 4144 4704 4736 5376 5439 6144 6216 6272 7104 7168 7252 8288 9408 9472 10752 10878 12432 12544 14208 14336 14504 16576 18816 18944 21504 21756 24864 25088 28416 29008 33152 37632 37888 43008 43512 49728 50176 56832 58016 66304 75264 75776 87024 99456 100352 113664 116032 132608 150528 174048 198912 227328 232064 265216 301056 348096 397824 464128 530432 696192 795648 928256 1392384 1591296 1856512 2784768 3713024 5569536 11139072