Search a number
-
+
4126460200 = 235220632301
BaseRepresentation
bin1111010111110100…
…1100100100101000
3101122120122220020021
43311331030210220
531422333211300
61521244210224
7204154222132
oct36575144450
911576586207
104126460200
111828308695
12971b39974
13509b9ac35
142b2072052
15192404d1a
hexf5f4c928

4126460200 has 24 divisors (see below), whose sum is σ = 9594020430. Its totient is φ = 1650584000.

The previous prime is 4126460179. The next prime is 4126460207. The reversal of 4126460200 is 20646214.

It can be written as a sum of positive squares in 3 ways, for example, as 3212849124 + 913611076 = 56682^2 + 30226^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (4126460207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10315951 + ... + 10316350.

Almost surely, 24126460200 is an apocalyptic number.

4126460200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4126460200 is an abundant number, since it is smaller than the sum of its proper divisors (5467560230).

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

4126460200 is a wasteful number, since it uses less digits than its factorization.

4126460200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20632317 (or 20632308 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 4126460200 is about 64237.5295290845. The cubic root of 4126460200 is about 1603.9563807186.

The spelling of 4126460200 in words is "four billion, one hundred twenty-six million, four hundred sixty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 20632301 41264602 82529204 103161505 165058408 206323010 412646020 515807525 825292040 1031615050 2063230100 4126460200