Search a number
-
+
14046928 = 2472192341
BaseRepresentation
bin110101100101…
…011011010000
3222102122202121
4311211123100
512044000203
61221024024
7230253100
oct65453320
928378677
1014046928
117a24735
124855014
132baa8bc
141c19200
1513770bd
hexd656d0

14046928 has 120 divisors (see below), whose sum is σ = 35622720. Its totient is φ = 5322240.

The previous prime is 14046919. The next prime is 14046931. The reversal of 14046928 is 82964041.

14046928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 14046893 and 14046902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 342588 + ... + 342628.

It is an arithmetic number, because the mean of its divisors is an integer number (296856).

Almost surely, 214046928 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 14046928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17811360).

14046928 is an abundant number, since it is smaller than the sum of its proper divisors (21575792).

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

14046928 is a wasteful number, since it uses less digits than its factorization.

14046928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 14046928 is about 3747.9231582304. The cubic root of 14046928 is about 241.2832193153.

The spelling of 14046928 in words is "fourteen million, forty-six thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 19 23 28 38 41 46 49 56 76 82 92 98 112 133 152 161 164 184 196 266 287 304 322 328 368 392 437 532 574 644 656 779 784 874 931 943 1064 1127 1148 1288 1558 1748 1862 1886 2009 2128 2254 2296 2576 3059 3116 3496 3724 3772 4018 4508 4592 5453 6118 6232 6601 6992 7448 7544 8036 9016 10906 12236 12464 13202 14896 15088 16072 17917 18032 21413 21812 24472 26404 32144 35834 38171 42826 43624 46207 48944 52808 71668 76342 85652 87248 92414 105616 125419 143336 152684 171304 184828 250838 286672 305368 342608 369656 501676 610736 739312 877933 1003352 1755866 2006704 3511732 7023464 14046928