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14814940 = 2257294189
BaseRepresentation
bin111000100000…
…111011011100
31000212200021111
4320200323130
512243034230
61245311404
7236632150
oct70407334
930780244
1014814940
1183a9758
124b65564
1330b934a
141d79060
15147992a
hexe20edc

14814940 has 96 divisors (see below), whose sum is σ = 38102400. Its totient is φ = 4730880.

The previous prime is 14814929. The next prime is 14814941. The reversal of 14814940 is 4941841.

14814940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14814941) 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, 166416 + ... + 166504.

It is an arithmetic number, because the mean of its divisors is an integer number (396900).

Almost surely, 214814940 is an apocalyptic number.

14814940 is a gapful number since it is divisible by the number (10) 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 14814940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19051200).

14814940 is an abundant number, since it is smaller than the sum of its proper divisors (23287460).

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

14814940 is a wasteful number, since it uses less digits than its factorization.

14814940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 14814940 is about 3849.0180565957. The cubic root of 14814940 is about 245.6027916867.

The spelling of 14814940 in words is "fourteen million, eight hundred fourteen thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 41 58 70 82 89 116 140 145 164 178 203 205 287 290 356 406 410 445 574 580 623 812 820 890 1015 1148 1189 1246 1435 1780 2030 2378 2492 2581 2870 3115 3649 4060 4756 5162 5740 5945 6230 7298 8323 10324 11890 12460 12905 14596 16646 18067 18245 23780 25543 25810 33292 36134 36490 41615 51086 51620 72268 72980 83230 90335 102172 105821 127715 166460 180670 211642 255430 361340 423284 510860 529105 740747 1058210 1481494 2116420 2962988 3703735 7407470 14814940