Search a number
-
+
5414200 = 23521123107
BaseRepresentation
bin10100101001110100111000
3101012001212221
4110221310320
52341223300
6312013424
764006561
oct24516470
911161787
105414200
113068850
121991274
13117748c
14a0d168
1571e31a
hex529d38

5414200 has 96 divisors (see below), whose sum is σ = 14463360. Its totient is φ = 1865600.

The previous prime is 5414197. The next prime is 5414207. The reversal of 5414200 is 24145.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5414207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50547 + ... + 50653.

It is an arithmetic number, because the mean of its divisors is an integer number (150660).

Almost surely, 25414200 is an apocalyptic number.

5414200 is a gapful number since it is divisible by the number (50) 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 5414200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7231680).

5414200 is an abundant number, since it is smaller than the sum of its proper divisors (9049160).

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

5414200 is a wasteful number, since it uses less digits than its factorization.

5414200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 5414200 is about 2326.8433552777. The cubic root of 5414200 is about 175.5947113667.

Adding to 5414200 its reverse (24145), we get a palindrome (5438345).

The spelling of 5414200 in words is "five million, four hundred fourteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 23 25 40 44 46 50 55 88 92 100 107 110 115 184 200 214 220 230 253 275 428 440 460 506 535 550 575 856 920 1012 1070 1100 1150 1177 1265 2024 2140 2200 2300 2354 2461 2530 2675 4280 4600 4708 4922 5060 5350 5885 6325 9416 9844 10120 10700 11770 12305 12650 19688 21400 23540 24610 25300 27071 29425 47080 49220 50600 54142 58850 61525 98440 108284 117700 123050 135355 216568 235400 246100 270710 492200 541420 676775 1082840 1353550 2707100 5414200