Search a number
-
+
2128125800 = 235210640629
BaseRepresentation
bin111111011011000…
…1001111101101000
312111022102222210002
41332312021331220
513324300011200
6551101042132
7103510525253
oct17666117550
95438388702
102128125800
119a22a9459
124b4856348
1327bb87a48
141628cc09a
15c6c70bd5
hex7ed89f68

2128125800 has 24 divisors (see below), whose sum is σ = 4947892950. Its totient is φ = 851250240.

The previous prime is 2128125751. The next prime is 2128125817. The reversal of 2128125800 is 85218212.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1197021604 + 931104196 = 34598^2 + 30514^2 .

It is a super-4 number, since 4×21281258004 (a number of 38 digits) contains 4444 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5320115 + ... + 5320514.

Almost surely, 22128125800 is an apocalyptic number.

2128125800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2128125800 is an abundant number, since it is smaller than the sum of its proper divisors (2819767150).

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

2128125800 is a wasteful number, since it uses less digits than its factorization.

2128125800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10640645 (or 10640636 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 29.

The square root of 2128125800 is about 46131.6138889591. The cubic root of 2128125800 is about 1286.2708639053.

The spelling of 2128125800 in words is "two billion, one hundred twenty-eight million, one hundred twenty-five thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 10640629 21281258 42562516 53203145 85125032 106406290 212812580 266015725 425625160 532031450 1064062900 2128125800