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1042398720 = 2934511457
BaseRepresentation
bin111110001000011…
…011111000000000
32200122110100020000
4332020123320000
54113323224340
6251234120000
734555146216
oct7610337000
92618410200
101042398720
11495452650
12251120000
13137c6379c
149c626cb6
15617a8d30
hex3e21be00

1042398720 has 400 divisors, whose sum is σ = 4081868208. Its totient is φ = 252149760.

The previous prime is 1042398689. The next prime is 1042398737. The reversal of 1042398720 is 278932401.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 39 ways as a sum of consecutive naturals, for example, 2280732 + ... + 2281188.

Almost surely, 21042398720 is an apocalyptic number.

1042398720 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 1042398720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2040934104).

1042398720 is an abundant number, since it is smaller than the sum of its proper divisors (3039469488).

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

1042398720 is an equidigital number, since it uses as much as digits as its factorization.

1042398720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1042398720 is about 32286.2001480509. The cubic root of 1042398720 is about 1013.9377434555.

The spelling of 1042398720 in words is "one billion, forty-two million, three hundred ninety-eight thousand, seven hundred twenty".