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1255203840 = 2103511171923
BaseRepresentation
bin100101011010000…
…1110010000000000
310020110212221222010
41022310032100000
510032313010330
6324315212520
743051025262
oct11264162000
93213787863
101255203840
11594591250
122b0447140
13170082387
14bc9bdb32
15752e23b0
hex4ad0e400

1255203840 has 704 divisors, whose sum is σ = 5093591040. Its totient is φ = 259522560.

The previous prime is 1255203827. The next prime is 1255203847. The reversal of 1255203840 is 483025521.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1255203798 and 1255203807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1255203847) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54574069 + ... + 54574091.

Almost surely, 21255203840 is an apocalyptic number.

1255203840 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 1255203840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2546795520).

1255203840 is an abundant number, since it is smaller than the sum of its proper divisors (3838387200).

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

1255203840 is a wasteful number, since it uses less digits than its factorization.

1255203840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 1255203840 is about 35428.8560357232. The cubic root of 1255203840 is about 1078.7101198743.

The spelling of 1255203840 in words is "one billion, two hundred fifty-five million, two hundred three thousand, eight hundred forty".