Search a number
-
+
5374100 = 225261881
BaseRepresentation
bin10100100000000010010100
3101010000212202
4110200002110
52333432400
6311104032
763451634
oct24400224
911100782
105374100
113040706
121972018
131162154
149dc6c4
157124d5
hex520094

5374100 has 36 divisors (see below), whose sum is σ = 11866428. Its totient is φ = 2112000.

The previous prime is 5374079. The next prime is 5374123. The reversal of 5374100 is 14735.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1817104 + 3556996 = 1348^2 + 1886^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5660 + ... + 6540.

It is an arithmetic number, because the mean of its divisors is an integer number (329623).

Almost surely, 25374100 is an apocalyptic number.

5374100 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 5374100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5933214).

5374100 is an abundant number, since it is smaller than the sum of its proper divisors (6492328).

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

5374100 is a wasteful number, since it uses less digits than its factorization.

5374100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 956 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 5374100 is about 2318.2105167564. The cubic root of 5374100 is about 175.1601255488.

Adding to 5374100 its reverse (14735), we get a palindrome (5388835).

The spelling of 5374100 in words is "five million, three hundred seventy-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 122 244 305 610 881 1220 1525 1762 3050 3524 4405 6100 8810 17620 22025 44050 53741 88100 107482 214964 268705 537410 1074820 1343525 2687050 5374100