Search a number
-
+
14065464 = 2337292887
BaseRepresentation
bin110101101001…
…111100111000
3222110121012010
4311221330320
512100043324
61221245520
7230361120
oct65517470
928417163
1014065464
117a37656
1248638a0
132bb617a
141c21c80
15137c829
hexd69f38

14065464 has 64 divisors (see below), whose sum is σ = 41587200. Its totient is φ = 3878784.

The previous prime is 14065427. The next prime is 14065481. The reversal of 14065464 is 46456041.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3429 + ... + 6315.

It is an arithmetic number, because the mean of its divisors is an integer number (649800).

Almost surely, 214065464 is an apocalyptic number.

14065464 is a gapful number since it is divisible by the number (14) 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 14065464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20793600).

14065464 is an abundant number, since it is smaller than the sum of its proper divisors (27521736).

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

14065464 is a wasteful number, since it uses less digits than its factorization.

14065464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2932 (or 2928 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 14065464 is about 3750.3951791778. The cubic root of 14065464 is about 241.3893032448.

The spelling of 14065464 in words is "fourteen million, sixty-five thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 56 58 84 87 116 168 174 203 232 348 406 609 696 812 1218 1624 2436 2887 4872 5774 8661 11548 17322 20209 23096 34644 40418 60627 69288 80836 83723 121254 161672 167446 242508 251169 334892 485016 502338 586061 669784 1004676 1172122 1758183 2009352 2344244 3516366 4688488 7032732 14065464