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14272960 = 265134773
BaseRepresentation
bin110110011100…
…100111000000
3222212010211011
4312130213000
512123213320
61225530304
7232214062
oct66344700
928763734
1014272960
118069539
124943994
132c59750
141c77732
1513be05a
hexd9c9c0

14272960 has 112 divisors (see below), whose sum is σ = 37892736. Its totient is φ = 5087232.

The previous prime is 14272957. The next prime is 14272967. The reversal of 14272960 is 6927241.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14272967) by changing a digit.

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, 195484 + ... + 195556.

It is an arithmetic number, because the mean of its divisors is an integer number (338328).

Almost surely, 214272960 is an apocalyptic number.

14272960 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 14272960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18946368).

14272960 is an abundant number, since it is smaller than the sum of its proper divisors (23619776).

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

14272960 is a wasteful number, since it uses less digits than its factorization.

14272960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 14272960 is about 3777.9571199261. The cubic root of 14272960 is about 242.5705183373.

The spelling of 14272960 in words is "fourteen million, two hundred seventy-two thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 47 52 64 65 73 80 94 104 130 146 160 188 208 235 260 292 320 365 376 416 470 520 584 611 730 752 832 940 949 1040 1168 1222 1460 1504 1880 1898 2080 2336 2444 2920 3008 3055 3431 3760 3796 4160 4672 4745 4888 5840 6110 6862 7520 7592 9490 9776 11680 12220 13724 15040 15184 17155 18980 19552 23360 24440 27448 30368 34310 37960 39104 44603 48880 54896 60736 68620 75920 89206 97760 109792 137240 151840 178412 195520 219584 223015 274480 303680 356824 446030 548960 713648 892060 1097920 1427296 1784120 2854592 3568240 7136480 14272960