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14482720 = 255767193
BaseRepresentation
bin110111001111…
…110100100000
31000020210120001
4313033310200
512201421340
61234225344
7234046450
oct67176440
930223501
1014482720
1181a209a
124a25254
133001075
141ccdd60
15141129a
hexdcfd20

14482720 has 96 divisors (see below), whose sum is σ = 39892608. Its totient is φ = 4866048.

The previous prime is 14482679. The next prime is 14482723. The reversal of 14482720 is 2728441.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (14482723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74944 + ... + 75136.

It is an arithmetic number, because the mean of its divisors is an integer number (415548).

Almost surely, 214482720 is an apocalyptic number.

14482720 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 14482720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19946304).

14482720 is an abundant number, since it is smaller than the sum of its proper divisors (25409888).

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

14482720 is a wasteful number, since it uses less digits than its factorization.

14482720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 28.

The square root of 14482720 is about 3805.6169013709. The cubic root of 14482720 is about 243.7530422588.

The spelling of 14482720 in words is "fourteen million, four hundred eighty-two thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 67 70 80 112 134 140 160 193 224 268 280 335 386 469 536 560 670 772 938 965 1072 1120 1340 1351 1544 1876 1930 2144 2345 2680 2702 3088 3752 3860 4690 5360 5404 6176 6755 7504 7720 9380 10720 10808 12931 13510 15008 15440 18760 21616 25862 27020 30880 37520 43232 51724 54040 64655 75040 90517 103448 108080 129310 181034 206896 216160 258620 362068 413792 452585 517240 724136 905170 1034480 1448272 1810340 2068960 2896544 3620680 7241360 14482720