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14012120 = 23519103179
BaseRepresentation
bin110101011100…
…111011011000
3222100220000102
4311130323120
512041341440
61220154532
7230046443
oct65347330
928326012
1014012120
117a00571
124838a48
132b97ac5
141c0a65a
15136bb15
hexd5ced8

14012120 has 64 divisors (see below), whose sum is σ = 33696000. Its totient is φ = 5228928.

The previous prime is 14012111. The next prime is 14012137. The reversal of 14012120 is 2121041.

14012120 = T81 + T82 + ... + T438.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78191 + ... + 78369.

It is an arithmetic number, because the mean of its divisors is an integer number (526500).

Almost surely, 214012120 is an apocalyptic number.

14012120 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 14012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16848000).

14012120 is an abundant number, since it is smaller than the sum of its proper divisors (19683880).

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

14012120 is a wasteful number, since it uses less digits than its factorization.

14012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 308 counting only the distinct ones).

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

The square root of 14012120 is about 3743.2766395232. The cubic root of 14012120 is about 241.0837561767.

Adding to 14012120 its reverse (2121041), we get a palindrome (16133161).

The spelling of 14012120 in words is "fourteen million, twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 103 152 179 190 206 358 380 412 515 716 760 824 895 1030 1432 1790 1957 2060 3401 3580 3914 4120 6802 7160 7828 9785 13604 15656 17005 18437 19570 27208 34010 36874 39140 68020 73748 78280 92185 136040 147496 184370 350303 368740 700606 737480 1401212 1751515 2802424 3503030 7006060 14012120