Search a number
-
+
14771664 = 2432195399
BaseRepresentation
bin111000010110…
…010111010000
31000210110220200
4320112113100
512240143124
61244335200
7236362035
oct70262720
930713820
1014771664
11837a196
124b44500
1330a273b
141d6738c
15146bbc9
hexe165d0

14771664 has 60 divisors (see below), whose sum is σ = 43524000. Its totient is φ = 4663872.

The previous prime is 14771633. The next prime is 14771719. The reversal of 14771664 is 46617741.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37 + ... + 5435.

It is an arithmetic number, because the mean of its divisors is an integer number (725400).

Almost surely, 214771664 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 14771664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21762000).

14771664 is an abundant number, since it is smaller than the sum of its proper divisors (28752336).

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

14771664 is a wasteful number, since it uses less digits than its factorization.

14771664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5432 (or 5423 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 14771664 is about 3843.3922516444. The cubic root of 14771664 is about 245.3634145797.

The spelling of 14771664 in words is "fourteen million, seven hundred seventy-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 684 912 1368 2736 5399 10798 16197 21596 32394 43192 48591 64788 86384 97182 102581 129576 194364 205162 259152 307743 388728 410324 615486 777456 820648 923229 1230972 1641296 1846458 2461944 3692916 4923888 7385832 14771664