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1050450240 = 263572137163
BaseRepresentation
bin111110100111001…
…001100101000000
32201012121101211110
4332213021211000
54122403401430
6252122443320
735013452100
oct7647114500
92635541743
101050450240
11499a518a4
12253963540
131398224b8
149d721200
15623497b0
hex3e9c9940

1050450240 has 336 divisors, whose sum is σ = 3931993152. Its totient is φ = 236888064.

The previous prime is 1050450229. The next prime is 1050450253. The reversal of 1050450240 is 420540501.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×10504502402 = 2206891413432115200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6444399 + ... + 6444561.

Almost surely, 21050450240 is an apocalyptic number.

1050450240 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 1050450240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1965996576).

1050450240 is an abundant number, since it is smaller than the sum of its proper divisors (2881542912).

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

1050450240 is a wasteful number, since it uses less digits than its factorization.

1050450240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 1050450240 is about 32410.6501014713. The cubic root of 1050450240 is about 1016.5416129742.

Adding to 1050450240 its reverse (420540501), we get a palindrome (1470990741).

The spelling of 1050450240 in words is "one billion, fifty million, four hundred fifty thousand, two hundred forty".