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14627072 = 28173361
BaseRepresentation
bin110111110011…
…000100000000
31000112010120102
4313303010000
512221031242
61241301532
7235220345
oct67630400
930463512
1014627072
118290599
124a948a8
133051995
141d2a7cc
15143de32
hexdf3100

14627072 has 36 divisors (see below), whose sum is σ = 30923676. Its totient is φ = 6881280.

The previous prime is 14627033. The next prime is 14627077. The reversal of 14627072 is 27072641.

It can be written as a sum of positive squares in 2 ways, for example, as 11182336 + 3444736 = 3344^2 + 1856^2 .

It is not an unprimeable number, because it can be changed into a prime (14627077) 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, 2672 + ... + 6032.

It is an arithmetic number, because the mean of its divisors is an integer number (858991).

Almost surely, 214627072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14627072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15461838).

14627072 is an abundant number, since it is smaller than the sum of its proper divisors (16296604).

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

14627072 is an equidigital number, since it uses as much as digits as its factorization.

14627072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3394 (or 3380 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 29.

The square root of 14627072 is about 3824.5355273549. The cubic root of 14627072 is about 244.5602106081.

The spelling of 14627072 in words is "fourteen million, six hundred twenty-seven thousand, seventy-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 544 1088 2176 3361 4352 6722 13444 26888 53776 57137 107552 114274 215104 228548 430208 457096 860416 914192 1828384 3656768 7313536 14627072