[go: up one dir, main page]

Search a number
-
+
14301400 = 2352233109
BaseRepresentation
bin110110100011…
…100011011000
3222220120211111
4312203203120
512130121100
61230310104
7232363021
oct66434330
928816744
1014301400
118088943
124958334
132c69689
141c83c48
1513c76ba
hexda38d8

14301400 has 48 divisors (see below), whose sum is σ = 34707600. Its totient is φ = 5470080.

The previous prime is 14301383. The next prime is 14301407. The reversal of 14301400 is 410341.

14301400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14301407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3046 + ... + 6154.

It is an arithmetic number, because the mean of its divisors is an integer number (723075).

Almost surely, 214301400 is an apocalyptic number.

14301400 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 14301400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17353800).

14301400 is an abundant number, since it is smaller than the sum of its proper divisors (20406200).

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

14301400 is a wasteful number, since it uses less digits than its factorization.

14301400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3148 (or 3139 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 14301400 is about 3781.7191857672. The cubic root of 14301400 is about 242.7315250832.

Adding to 14301400 its reverse (410341), we get a palindrome (14711741).

The spelling of 14301400 in words is "fourteen million, three hundred one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 184 200 230 460 575 920 1150 2300 3109 4600 6218 12436 15545 24872 31090 62180 71507 77725 124360 143014 155450 286028 310900 357535 572056 621800 715070 1430140 1787675 2860280 3575350 7150700 14301400