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18694144 = 2147163
BaseRepresentation
bin100011101010…
…0000000000000
31022011202112201
41013110000000
514241203034
61504402544
7314616610
oct107240000
938152481
1018694144
11a609207
126316454
133b46c31
1426a8a40
151994014
hex11d4000

18694144 has 60 divisors (see below), whose sum is σ = 42990304. Its totient is φ = 7962624.

The previous prime is 18694133. The next prime is 18694153. The reversal of 18694144 is 44149681.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 114607 + ... + 114769.

Almost surely, 218694144 is an apocalyptic number.

18694144 is a gapful number since it is divisible by the number (14) 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 18694144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21495152).

18694144 is an abundant number, since it is smaller than the sum of its proper divisors (24296160).

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

18694144 is an frugal number, since it uses more digits than its factorization.

18694144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 172 counting only the distinct ones).

The product of its digits is 27648, while the sum is 37.

The square root of 18694144 is about 4323.6725130380. The cubic root of 18694144 is about 265.4005760962.

The spelling of 18694144 in words is "eighteen million, six hundred ninety-four thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 163 224 256 326 448 512 652 896 1024 1141 1304 1792 2048 2282 2608 3584 4096 4564 5216 7168 8192 9128 10432 14336 16384 18256 20864 28672 36512 41728 57344 73024 83456 114688 146048 166912 292096 333824 584192 667648 1168384 1335296 2336768 2670592 4673536 9347072 18694144