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14071920 = 2435173449
BaseRepresentation
bin110101101011…
…100001110000
3222110221001020
4311223201300
512100300140
61221335440
7230416002
oct65534160
928427036
1014071920
117a41495
124867580
132bb90a5
141c24372
15137e6d0
hexd6b870

14071920 has 80 divisors (see below), whose sum is σ = 46202400. Its totient is φ = 3530752.

The previous prime is 14071909. The next prime is 14071927. The reversal of 14071920 is 2917041.

14071920 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14071927) 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, 2356 + ... + 5804.

It is an arithmetic number, because the mean of its divisors is an integer number (577530).

Almost surely, 214071920 is an apocalyptic number.

14071920 is a gapful number since it is divisible by the number (10) 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 14071920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23101200).

14071920 is an abundant number, since it is smaller than the sum of its proper divisors (32130480).

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

14071920 is a wasteful number, since it uses less digits than its factorization.

14071920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3482 (or 3476 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 14071920 is about 3751.2557897323. The cubic root of 14071920 is about 241.4262298845.

Adding to 14071920 its reverse (2917041), we get a palindrome (16988961).

The spelling of 14071920 in words is "fourteen million, seventy-one thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 816 1020 1360 2040 3449 4080 6898 10347 13796 17245 20694 27592 34490 41388 51735 55184 58633 68980 82776 103470 117266 137960 165552 175899 206940 234532 275920 293165 351798 413880 469064 586330 703596 827760 879495 938128 1172660 1407192 1758990 2345320 2814384 3517980 4690640 7035960 14071920