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14014120 = 2351737557
BaseRepresentation
bin110101011101…
…011010101000
3222100222202111
4311131122220
512041422440
61220212104
7230055331
oct65353250
928328674
1014014120
117a0201a
12483a034
132b989a3
141c0b288
15136c4ea
hexd5d6a8

14014120 has 64 divisors (see below), whose sum is σ = 34350480. Its totient is φ = 5124096.

The previous prime is 14014097. The next prime is 14014123. The reversal of 14014120 is 2141041.

14014120 = 1122 + 1132 + ... + 3512.

It can be written as a sum of positive squares in 8 ways, for example, as 7873636 + 6140484 = 2806^2 + 2478^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 14014120.

It is not an unprimeable number, because it can be changed into a prime (14014123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24882 + ... + 25438.

Almost surely, 214014120 is an apocalyptic number.

14014120 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 14014120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17175240).

14014120 is an abundant number, since it is smaller than the sum of its proper divisors (20336360).

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

14014120 is a wasteful number, since it uses less digits than its factorization.

14014120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 14014120 is about 3743.5437756222. The cubic root of 14014120 is about 241.0952258799.

Adding to 14014120 its reverse (2141041), we get a palindrome (16155161).

The spelling of 14014120 in words is "fourteen million, fourteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 37 40 68 74 85 136 148 170 185 296 340 370 557 629 680 740 1114 1258 1480 2228 2516 2785 3145 4456 5032 5570 6290 9469 11140 12580 18938 20609 22280 25160 37876 41218 47345 75752 82436 94690 103045 164872 189380 206090 350353 378760 412180 700706 824360 1401412 1751765 2802824 3503530 7007060 14014120