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14120120 = 2357211239
BaseRepresentation
bin110101110111…
…010010111000
3222120101011102
4311313102320
512103320440
61222350532
7231006350
oct65672270
928511142
1014120120
117a74723
12488b448
132c05001
141c37b60
15138db15
hexd774b8

14120120 has 64 divisors (see below), whose sum is σ = 36633600. Its totient is φ = 4798080.

The previous prime is 14120089. The next prime is 14120123. The reversal of 14120120 is 2102141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14120123) 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, 58961 + ... + 59199.

It is an arithmetic number, because the mean of its divisors is an integer number (572400).

Almost surely, 214120120 is an apocalyptic number.

14120120 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 14120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18316800).

14120120 is an abundant number, since it is smaller than the sum of its proper divisors (22513480).

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

14120120 is a wasteful number, since it uses less digits than its factorization.

14120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 464 counting only the distinct ones).

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

The square root of 14120120 is about 3757.6748129661. The cubic root of 14120120 is about 241.7015650487.

Adding to 14120120 its reverse (2102141), we get a palindrome (16222261).

The spelling of 14120120 in words is "fourteen million, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 211 239 280 422 478 844 956 1055 1195 1477 1673 1688 1912 2110 2390 2954 3346 4220 4780 5908 6692 7385 8365 8440 9560 11816 13384 14770 16730 29540 33460 50429 59080 66920 100858 201716 252145 353003 403432 504290 706006 1008580 1412012 1765015 2017160 2824024 3530030 7060060 14120120