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14686720 = 2955737
BaseRepresentation
bin111000000001…
…101000000000
31000122011101121
4320001220000
512224433340
61242442024
7235556266
oct70015000
930564347
1014686720
118321394
124b03314
133072b89
141d44436
15145194a
hexe01a00

14686720 has 40 divisors (see below), whose sum is σ = 35219844. Its totient is φ = 5873664.

The previous prime is 14686699. The next prime is 14686729. The reversal of 14686720 is 2768641.

It can be written as a sum of positive squares in 2 ways, for example, as 12278016 + 2408704 = 3504^2 + 1552^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (14686729) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 309 + ... + 5428.

Almost surely, 214686720 is an apocalyptic number.

14686720 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 14686720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17609922).

14686720 is an abundant number, since it is smaller than the sum of its proper divisors (20533124).

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

14686720 is an frugal number, since it uses more digits than its factorization.

14686720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5760 (or 5744 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 14686720 is about 3832.3256646585. The cubic root of 14686720 is about 244.8921919126.

The spelling of 14686720 in words is "fourteen million, six hundred eighty-six thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2560 5737 11474 22948 28685 45896 57370 91792 114740 183584 229480 367168 458960 734336 917920 1468672 1835840 2937344 3671680 7343360 14686720