Search a number
-
+
14030600 = 235231273
BaseRepresentation
bin110101100001…
…011100001000
3222101211100212
4311201130020
512042434400
61220420252
7230154353
oct65413410
928354325
1014030600
117a13441
124847688
132ba333c
141c1329a
151372335
hexd61708

14030600 has 72 divisors (see below), whose sum is σ = 34169130. Its totient is φ = 5356800.

The previous prime is 14030591. The next prime is 14030603. The reversal of 14030600 is 603041.

It can be written as a sum of positive squares in 3 ways, for example, as 10797796 + 3232804 = 3286^2 + 1798^2 .

It is not an unprimeable number, because it can be changed into a prime (14030603) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 192164 + ... + 192236.

Almost surely, 214030600 is an apocalyptic number.

14030600 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 14030600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17084565).

14030600 is an abundant number, since it is smaller than the sum of its proper divisors (20138530).

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

14030600 is a wasteful number, since it uses less digits than its factorization.

14030600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 14030600 is about 3745.7442518143. The cubic root of 14030600 is about 241.1896947176.

Adding to 14030600 its reverse (603041), we get a palindrome (14633641).

The spelling of 14030600 in words is "fourteen million, thirty thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 73 100 124 146 155 200 248 292 310 365 584 620 730 775 961 1240 1460 1550 1825 1922 2263 2920 3100 3650 3844 4526 4805 6200 7300 7688 9052 9610 11315 14600 18104 19220 22630 24025 38440 45260 48050 56575 70153 90520 96100 113150 140306 192200 226300 280612 350765 452600 561224 701530 1403060 1753825 2806120 3507650 7015300 14030600