Search a number
-
+
14270100 = 22352133659
BaseRepresentation
bin110110011011…
…111010010100
3222211222220020
4312123322110
512123120400
61225505140
7232202535
oct66337224
928758806
1014270100
118067379
1249421b0
132c58360
141c7668c
1513bd2a0
hexd9be94

14270100 has 72 divisors (see below), whose sum is σ = 44476320. Its totient is φ = 3511680.

The previous prime is 14270063. The next prime is 14270111. The reversal of 14270100 is 107241.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 14270100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2071 + ... + 5729.

Almost surely, 214270100 is an apocalyptic number.

14270100 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 14270100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22238160).

14270100 is an abundant number, since it is smaller than the sum of its proper divisors (30206220).

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

14270100 is a wasteful number, since it uses less digits than its factorization.

14270100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3689 (or 3682 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 14270100 is about 3777.5785895200. The cubic root of 14270100 is about 242.5543152506.

Adding to 14270100 its reverse (107241), we get a palindrome (14377341).

The spelling of 14270100 in words is "fourteen million, two hundred seventy thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 1300 1950 3659 3900 7318 10977 14636 18295 21954 36590 43908 47567 54885 73180 91475 95134 109770 142701 182950 190268 219540 237835 274425 285402 365900 475670 548850 570804 713505 951340 1097700 1189175 1427010 2378350 2854020 3567525 4756700 7135050 14270100