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14101120 = 275112003
BaseRepresentation
bin110101110010…
…101010000000
3222112102002201
4311302222000
512102213440
61222122544
7230600065
oct65625200
928472081
1014101120
117a61420
124880454
132bc9477
141c30c6c
15138819a
hexd72a80

14101120 has 64 divisors (see below), whose sum is σ = 36793440. Its totient is φ = 5125120.

The previous prime is 14101099. The next prime is 14101121. The reversal of 14101120 is 2110141.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a cake number, because a cake can be divided into 14101120 parts by 439 planar cuts.

It is a junction number, because it is equal to n+sod(n) for n = 14101097 and 14101106.

It is not an unprimeable number, because it can be changed into a prime (14101121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6039 + ... + 8041.

Almost surely, 214101120 is an apocalyptic number.

14101120 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 14101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18396720).

14101120 is an abundant number, since it is smaller than the sum of its proper divisors (22692320).

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

14101120 is a wasteful number, since it uses less digits than its factorization.

14101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2033 (or 2021 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 14101120 is about 3755.1458027619. The cubic root of 14101120 is about 241.5931053688.

Adding to 14101120 its reverse (2110141), we get a palindrome (16211261).

The spelling of 14101120 in words is "fourteen million, one hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 320 352 440 640 704 880 1408 1760 2003 3520 4006 7040 8012 10015 16024 20030 22033 32048 40060 44066 64096 80120 88132 110165 128192 160240 176264 220330 256384 320480 352528 440660 640960 705056 881320 1281920 1410112 1762640 2820224 3525280 7050560 14101120