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18119136 = 253759457
BaseRepresentation
bin100010100011…
…1100111100000
31021002112210010
41011013213200
514114303021
61444204520
7310003320
oct105074740
937075703
1018119136
11a2561a2
126099740
1339a52a9
142599280
1518cd976
hex11479e0

18119136 has 96 divisors (see below), whose sum is σ = 55399680. Its totient is φ = 5078016.

The previous prime is 18119117. The next prime is 18119177. The reversal of 18119136 is 63191181.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39420 + ... + 39876.

It is an arithmetic number, because the mean of its divisors is an integer number (577080).

Almost surely, 218119136 is an apocalyptic number.

18119136 is a gapful number since it is divisible by the number (16) 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 18119136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27699840).

18119136 is an abundant number, since it is smaller than the sum of its proper divisors (37280544).

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

18119136 is a wasteful number, since it uses less digits than its factorization.

18119136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 528 counting only the distinct ones).

The product of its digits is 1296, while the sum is 30.

The square root of 18119136 is about 4256.6578438958. The cubic root of 18119136 is about 262.6510622571.

The spelling of 18119136 in words is "eighteen million, one hundred nineteen thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 59 84 96 112 118 168 177 224 236 336 354 413 457 472 672 708 826 914 944 1239 1371 1416 1652 1828 1888 2478 2742 2832 3199 3304 3656 4956 5484 5664 6398 6608 7312 9597 9912 10968 12796 13216 14624 19194 19824 21936 25592 26963 38388 39648 43872 51184 53926 76776 80889 102368 107852 153552 161778 188741 215704 307104 323556 377482 431408 566223 647112 754964 862816 1132446 1294224 1509928 2264892 2588448 3019856 4529784 6039712 9059568 18119136