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1042791840 = 253351991213
BaseRepresentation
bin111110001001111…
…011110110100000
32200200012022111000
4332021323312200
54113423314330
6251250352000
734561404306
oct7611736640
92620168430
101042791840
114956a0a42
1225128b600
131380706bc
149c6ca276
1561835560
hex3e27bda0

1042791840 has 192 divisors, whose sum is σ = 3671136000. Its totient is φ = 276452352.

The previous prime is 1042791829. The next prime is 1042791859. The reversal of 1042791840 is 481972401.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 1042791795 and 1042791804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 859074 + ... + 860286.

It is an arithmetic number, because the mean of its divisors is an integer number (19120500).

Almost surely, 21042791840 is an apocalyptic number.

1042791840 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 1042791840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1835568000).

1042791840 is an abundant number, since it is smaller than the sum of its proper divisors (2628344160).

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

1042791840 is a wasteful number, since it uses less digits than its factorization.

1042791840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1436 (or 1422 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 1042791840 is about 32292.2876241371. The cubic root of 1042791840 is about 1014.0651896046.

The spelling of 1042791840 in words is "one billion, forty-two million, seven hundred ninety-one thousand, eight hundred forty".