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14692672 = 261012273
BaseRepresentation
bin111000000011…
…000101000000
31000122110120001
4320003011000
512230131142
61242525344
7235612531
oct70030500
930573501
1014692672
118325905
124b06854
1330757b7
141d46688
1514535b7
hexe03140

14692672 has 28 divisors (see below), whose sum is σ = 29457396. Its totient is φ = 7270400.

The previous prime is 14692661. The next prime is 14692697. The reversal of 14692672 is 27629641.

It can be written as a sum of positive squares in 2 ways, for example, as 13660416 + 1032256 = 3696^2 + 1016^2 .

It is a super-2 number, since 2×146926722 = 431749220999168, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5328 + ... + 7600.

Almost surely, 214692672 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 14692672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14728698).

14692672 is an abundant number, since it is smaller than the sum of its proper divisors (14764724).

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

14692672 is a wasteful number, since it uses less digits than its factorization.

14692672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2386 (or 2376 counting only the distinct ones).

The product of its digits is 36288, while the sum is 37.

The square root of 14692672 is about 3833.1021379556. The cubic root of 14692672 is about 244.9252694471.

The spelling of 14692672 in words is "fourteen million, six hundred ninety-two thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 32 64 101 202 404 808 1616 2273 3232 4546 6464 9092 18184 36368 72736 145472 229573 459146 918292 1836584 3673168 7346336 14692672