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1900425240 = 233557173153
BaseRepresentation
bin111000101000110…
…0011000000011000
311220102222121100000
41301101203000120
512343002101430
6512324413000
765044230240
oct16121430030
94812877300
101900425240
1189581667a
12450547160
1324395229c
14140578b20
15b1c93e60
hex71463018

1900425240 has 768 divisors, whose sum is σ = 8151736320. Its totient is φ = 388177920.

The previous prime is 1900425203. The next prime is 1900425251. The reversal of 1900425240 is 425240091.

It is a super-2 number, since 2×19004252402 = 7223232185658115200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 35857054 + ... + 35857106.

It is an arithmetic number, because the mean of its divisors is an integer number (10614240).

Almost surely, 21900425240 is an apocalyptic number.

1900425240 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 1900425240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4075868160).

1900425240 is an abundant number, since it is smaller than the sum of its proper divisors (6251311080).

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

1900425240 is a wasteful number, since it uses less digits than its factorization.

1900425240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1900425240 is about 43593.8669998430. The cubic root of 1900425240 is about 1238.6547238332.

It can be divided in two parts, 19004 and 25240, that added together give a palindrome (44244).

The spelling of 1900425240 in words is "one billion, nine hundred million, four hundred twenty-five thousand, two hundred forty".