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14000448 = 263711947
BaseRepresentation
bin110101011010…
…000101000000
3222100022000010
4311122011000
512041003243
61220024520
7230000430
oct65320500
928308003
1014000448
1179a2820
124832140
132b926b7
141c062c0
151368433
hexd5a140

14000448 has 112 divisors (see below), whose sum is σ = 46232064. Its totient is φ = 3632640.

The previous prime is 14000447. The next prime is 14000453. The reversal of 14000448 is 84400041.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14000447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14311 + ... + 15257.

Almost surely, 214000448 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 14000448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23116032).

14000448 is an abundant number, since it is smaller than the sum of its proper divisors (32231616).

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

14000448 is a wasteful number, since it uses less digits than its factorization.

14000448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 14000448 is about 3741.7172528132. The cubic root of 14000448 is about 241.0167972085.

Adding to 14000448 its reverse (84400041), we get a palindrome (98400489).

The spelling of 14000448 in words is "fourteen million, four hundred forty-eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 132 154 168 176 192 224 231 264 308 336 352 448 462 528 616 672 704 924 947 1056 1232 1344 1848 1894 2112 2464 2841 3696 3788 4928 5682 6629 7392 7576 10417 11364 13258 14784 15152 19887 20834 22728 26516 30304 31251 39774 41668 45456 53032 60608 62502 72919 79548 83336 90912 106064 125004 145838 159096 166672 181824 212128 218757 250008 291676 318192 333344 424256 437514 500016 583352 636384 666688 875028 1000032 1166704 1272768 1750056 2000064 2333408 3500112 4666816 7000224 14000448