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14021120 = 2955477
BaseRepresentation
bin110101011111…
…001000000000
3222101100100202
4311133020000
512042133440
61220304332
7230114621
oct65371000
928340322
1014021120
117a07303
1248420a8
132b9bc29
141c0da48
15136e615
hexd5f200

14021120 has 40 divisors (see below), whose sum is σ = 33623964. Its totient is φ = 5607424.

The previous prime is 14021101. The next prime is 14021129. The reversal of 14021120 is 2112041.

It can be written as a sum of positive squares in 2 ways, for example, as 12730624 + 1290496 = 3568^2 + 1136^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (14021129) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 179 + ... + 5298.

Almost surely, 214021120 is an apocalyptic number.

14021120 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 14021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16811982).

14021120 is an abundant number, since it is smaller than the sum of its proper divisors (19602844).

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

14021120 is an frugal number, since it uses more digits than its factorization.

14021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5500 (or 5484 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 14021120 is about 3744.4786018884. The cubic root of 14021120 is about 241.1353612497.

Adding to 14021120 its reverse (2112041), we get a palindrome (16133161).

It can be divided in two parts, 14021 and 120, that added together give a palindrome (14141).

The spelling of 14021120 in words is "fourteen million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2560 5477 10954 21908 27385 43816 54770 87632 109540 175264 219080 350528 438160 701056 876320 1402112 1752640 2804224 3505280 7010560 14021120