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14084952 = 233732959
BaseRepresentation
bin110101101110…
…101101011000
3222111120220220
4311232231120
512101204302
61221520040
7230502000
oct65565530
928446826
1014084952
117a50262
124873020
132bc1cbb
141c29000
1513834bc
hexd6eb58

14084952 has 128 divisors (see below), whose sum is σ = 43200000. Its totient is φ = 3819648.

The previous prime is 14084929. The next prime is 14084953. The reversal of 14084952 is 25948041.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14084953) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 238699 + ... + 238757.

It is an arithmetic number, because the mean of its divisors is an integer number (337500).

Almost surely, 214084952 is an apocalyptic number.

14084952 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 14084952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21600000).

14084952 is an abundant number, since it is smaller than the sum of its proper divisors (29115048).

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

14084952 is a wasteful number, since it uses less digits than its factorization.

14084952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 14084952 is about 3752.9924060675. The cubic root of 14084952 is about 241.5007351374.

The spelling of 14084952 in words is "fourteen million, eighty-four thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 49 56 58 59 84 87 98 116 118 147 168 174 177 196 203 232 236 294 343 348 354 392 406 413 472 588 609 686 696 708 812 826 1029 1176 1218 1239 1372 1416 1421 1624 1652 1711 2058 2436 2478 2744 2842 2891 3304 3422 4116 4263 4872 4956 5133 5684 5782 6844 8232 8526 8673 9912 9947 10266 11368 11564 11977 13688 17052 17346 19894 20237 20532 23128 23954 29841 34104 34692 35931 39788 40474 41064 47908 59682 60711 69384 71862 79576 80948 83839 95816 119364 121422 143724 161896 167678 238728 242844 251517 287448 335356 485688 503034 586873 670712 1006068 1173746 1760619 2012136 2347492 3521238 4694984 7042476 14084952