Search a number
-
+
14046912 = 263311739
BaseRepresentation
bin110101100101…
…011011000000
3222102122202000
4311211123000
512044000122
61221024000
7230253045
oct65453300
928378660
1014046912
117a24720
124855000
132baa8a9
141c191cc
1513770ac
hexd656c0

14046912 has 112 divisors (see below), whose sum is σ = 45110400. Its totient is φ = 4250880.

The previous prime is 14046899. The next prime is 14046919. The reversal of 14046912 is 21964041.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (14046919) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 18639 + ... + 19377.

Almost surely, 214046912 is an apocalyptic number.

14046912 is a gapful number since it is divisible by the number (12) 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 14046912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22555200).

14046912 is an abundant number, since it is smaller than the sum of its proper divisors (31063488).

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

14046912 is a wasteful number, since it uses less digits than its factorization.

14046912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 14046912 is about 3747.9210237143. The cubic root of 14046912 is about 241.2831277049.

The spelling of 14046912 in words is "fourteen million, forty-six thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 132 144 176 192 198 216 264 288 297 352 396 432 528 576 594 704 739 792 864 1056 1188 1478 1584 1728 2112 2217 2376 2956 3168 4434 4752 5912 6336 6651 8129 8868 9504 11824 13302 16258 17736 19008 19953 23648 24387 26604 32516 35472 39906 47296 48774 53208 65032 70944 73161 79812 97548 106416 130064 141888 146322 159624 195096 212832 219483 260128 292644 319248 390192 425664 438966 520256 585288 638496 780384 877932 1170576 1276992 1560768 1755864 2341152 3511728 4682304 7023456 14046912