Search a number
-
+
14047616 = 27112907
BaseRepresentation
bin110101100101…
…100110000000
3222102200201002
4311211212000
512044010431
61221031132
7230255102
oct65454600
928380632
1014047616
117a25200
1248554a8
132baaccb
141c19572
1513773cb
hexd65980

14047616 has 48 divisors (see below), whose sum is σ = 30794820. Its totient is φ = 6378240.

The previous prime is 14047613. The next prime is 14047639. The reversal of 14047616 is 61674041.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14047613) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15035 + ... + 15941.

Almost surely, 214047616 is an apocalyptic number.

14047616 is a gapful number since it is divisible by the number (16) 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 14047616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15397410).

14047616 is an abundant number, since it is smaller than the sum of its proper divisors (16747204).

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

14047616 is an equidigital number, since it uses as much as digits as its factorization.

14047616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 943 (or 920 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 14047616 is about 3748.0149412722. The cubic root of 14047616 is about 241.2871584955.

The spelling of 14047616 in words is "fourteen million, forty-seven thousand, six hundred sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 352 484 704 907 968 1408 1814 1936 3628 3872 7256 7744 9977 14512 15488 19954 29024 39908 58048 79816 109747 116096 159632 219494 319264 438988 638528 877976 1277056 1755952 3511904 7023808 14047616