Search a number
-
+
2132753300 = 225221327533
BaseRepresentation
bin111111100011111…
…0011101110010100
312111122011002111222
41333013303232110
513331441101200
6551344145512
7103565050436
oct17707635624
95448132458
102132753300
119a497a137
124b6308298
1327cb18102
14163374656
15c7386d85
hex7f1f3b94

2132753300 has 18 divisors (see below), whose sum is σ = 4628074878. Its totient is φ = 853101280.

The previous prime is 2132753279. The next prime is 2132753321. The reversal of 2132753300 is 33572312.

It is an interprime number because it is at equal distance from previous prime (2132753279) and next prime (2132753321).

It can be written as a sum of positive squares in 3 ways, for example, as 28879876 + 2103873424 = 5374^2 + 45868^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2132753300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10663667 + ... + 10663866.

It is an arithmetic number, because the mean of its divisors is an integer number (257115271).

Almost surely, 22132753300 is an apocalyptic number.

2132753300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2132753300 is an abundant number, since it is smaller than the sum of its proper divisors (2495321578).

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

2132753300 is a wasteful number, since it uses less digits than its factorization.

2132753300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21327547 (or 21327540 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 26.

The square root of 2132753300 is about 46181.7420632873. The cubic root of 2132753300 is about 1287.2024988933.

The spelling of 2132753300 in words is "two billion, one hundred thirty-two million, seven hundred fifty-three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 21327533 42655066 85310132 106637665 213275330 426550660 533188325 1066376650 2132753300