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2093184 = 27322379
BaseRepresentation
bin111111111000010000000
310221100022100
413333002000
51013440214
6112510400
723535402
oct7770200
93840270
102093184
1111aa705
1284b400
13583992
143c6b72
152b5309
hex1ff080

2093184 has 96 divisors (see below), whose sum is σ = 6364800. Its totient is φ = 658944.

The previous prime is 2093183. The next prime is 2093219. The reversal of 2093184 is 4813902.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2093183) 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, 26457 + ... + 26535.

It is an arithmetic number, because the mean of its divisors is an integer number (66300).

22093184 is an apocalyptic number.

2093184 is a gapful number since it is divisible by the number (24) 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 2093184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3182400).

2093184 is an abundant number, since it is smaller than the sum of its proper divisors (4271616).

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

2093184 is a wasteful number, since it uses less digits than its factorization.

2093184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2093184 is about 1446.7840198177. The cubic root of 2093184 is about 127.9192198641.

The spelling of 2093184 in words is "two million, ninety-three thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 79 92 96 128 138 144 158 184 192 207 237 276 288 316 368 384 414 474 552 576 632 711 736 828 948 1104 1152 1264 1422 1472 1656 1817 1896 2208 2528 2844 2944 3312 3634 3792 4416 5056 5451 5688 6624 7268 7584 8832 10112 10902 11376 13248 14536 15168 16353 21804 22752 26496 29072 30336 32706 43608 45504 58144 65412 87216 91008 116288 130824 174432 232576 261648 348864 523296 697728 1046592 2093184