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5014400 = 27521567
BaseRepresentation
bin10011001000001110000000
3100102202110112
4103020032000
52240430100
6255250452
760423146
oct23101600
910382415
105014400
112915436
121819a28
131067501
14947596
15690b35
hex4c8380

5014400 has 48 divisors (see below), whose sum is σ = 12395040. Its totient is φ = 2004480.

The previous prime is 5014381. The next prime is 5014403. The reversal of 5014400 is 44105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5014403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2417 + ... + 3983.

It is an arithmetic number, because the mean of its divisors is an integer number (258230).

Almost surely, 25014400 is an apocalyptic number.

5014400 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 5014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6197520).

5014400 is an abundant number, since it is smaller than the sum of its proper divisors (7380640).

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

5014400 is a wasteful number, since it uses less digits than its factorization.

5014400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1591 (or 1574 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 5014400 is about 2239.2856003645. The cubic root of 5014400 is about 171.1615950188.

Adding to 5014400 its reverse (44105), we get a palindrome (5058505).

The spelling of 5014400 in words is "five million, fourteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 640 800 1567 1600 3134 3200 6268 7835 12536 15670 25072 31340 39175 50144 62680 78350 100288 125360 156700 200576 250720 313400 501440 626800 1002880 1253600 2507200 5014400