Search a number
-
+
1625020020 = 2232513371372
BaseRepresentation
bin110000011011011…
…1101011001110100
311012020202120101200
41200312331121310
511312001120040
6425125452500
755161304461
oct14066753164
94166676350
101625020020
11764310658
12394271130
131cb886110
14115b68668
15979e2630
hex60dbd674

1625020020 has 216 divisors, whose sum is σ = 5491954104. Its totient is φ = 386353152.

The previous prime is 1625020003. The next prime is 1625020027. The reversal of 1625020020 is 200205261.

1625020020 is a `hidden beast` number, since 1 + 625 + 0 + 20 + 0 + 20 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 184362084 + 1440657936 = 13578^2 + 37956^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1625019975 and 1625020002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1625020027) 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 71 ways as a sum of consecutive naturals, for example, 11861392 + ... + 11861528.

Almost surely, 21625020020 is an apocalyptic number.

1625020020 is a gapful number since it is divisible by the number (10) 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 1625020020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2745977052).

1625020020 is an abundant number, since it is smaller than the sum of its proper divisors (3866934084).

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

1625020020 is a wasteful number, since it uses less digits than its factorization.

1625020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1625020020 is about 40311.5370582666. The cubic root of 1625020020 is about 1175.6721719144.

Adding to 1625020020 its reverse (200205261), we get a palindrome (1825225281).

The spelling of 1625020020 in words is "one billion, six hundred twenty-five million, twenty thousand, twenty".