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1042332480 = 263257149347
BaseRepresentation
bin111110001000001…
…011101101000000
32200122022222100200
4332020023231000
54113314114410
6251232445200
734554452130
oct7610135500
92618288320
101042332480
11495407902
122510a9800
13137c3c5a7
149c60aac0
15617943c0
hex3e20bb40

1042332480 has 336 divisors, whose sum is σ = 4136745600. Its totient is φ = 235966464.

The previous prime is 1042332449. The next prime is 1042332491. The reversal of 1042332480 is 842332401.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3003667 + ... + 3004013.

Almost surely, 21042332480 is an apocalyptic number.

1042332480 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 1042332480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2068372800).

1042332480 is an abundant number, since it is smaller than the sum of its proper divisors (3094413120).

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

1042332480 is a wasteful number, since it uses less digits than its factorization.

1042332480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 1042332480 is about 32285.1743064832. The cubic root of 1042332480 is about 1013.9162658585.

Adding to 1042332480 its reverse (842332401), we get a palindrome (1884664881).

The spelling of 1042332480 in words is "one billion, forty-two million, three hundred thirty-two thousand, four hundred eighty".