Search a number
-
+
5350900 = 225273733
BaseRepresentation
bin10100011010010111110100
3101001212001111
4110122113310
52332212100
6310404404
763324202
oct24322764
911055044
105350900
113025235
121960704
131154719
149d4072
1570a6ba
hex51a5f4

5350900 has 36 divisors (see below), whose sum is σ = 11786572. Its totient is φ = 2108160.

The previous prime is 5350897. The next prime is 5350901. The reversal of 5350900 is 90535.

5350900 = T124 + T125 + ... + T323.

It can be written as a sum of positive squares in 6 ways, for example, as 234256 + 5116644 = 484^2 + 2262^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5350901) 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, 6934 + ... + 7666.

Almost surely, 25350900 is an apocalyptic number.

5350900 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 5350900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5893286).

5350900 is an abundant number, since it is smaller than the sum of its proper divisors (6435672).

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

5350900 is a wasteful number, since it uses less digits than its factorization.

5350900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 675, while the sum is 22.

The square root of 5350900 is about 2313.2012450282. The cubic root of 5350900 is about 174.9077064357.

The spelling of 5350900 in words is "five million, three hundred fifty thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 73 100 146 292 365 730 733 1460 1466 1825 2932 3650 3665 7300 7330 14660 18325 36650 53509 73300 107018 214036 267545 535090 1070180 1337725 2675450 5350900