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5141400 = 23352111941
BaseRepresentation
bin10011100111001110011000
3100200012200020
4103213032120
52304011100
6302110440
761462335
oct23471630
910605606
105141400
1129a18a0
12187b420
1310b0264
1497b98c
156b85a0
hex4e7398

5141400 has 192 divisors, whose sum is σ = 18748800. Its totient is φ = 1152000.

The previous prime is 5141393. The next prime is 5141401. The reversal of 5141400 is 41415.

5141400 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 5141400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5141401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 125380 + ... + 125420.

It is an arithmetic number, because the mean of its divisors is an integer number (97650).

Almost surely, 25141400 is an apocalyptic number.

5141400 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 5141400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9374400).

5141400 is an abundant number, since it is smaller than the sum of its proper divisors (13607400).

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

5141400 is a wasteful number, since it uses less digits than its factorization.

5141400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 5141400 is about 2267.4655454935. The cubic root of 5141400 is about 172.5945711214.

Adding to 5141400 its sum of digits (15), we get a palindrome (5141415).

Adding to 5141400 its reverse (41415), we get a palindrome (5182815).

The spelling of 5141400 in words is "five million, one hundred forty-one thousand, four hundred".