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1042790112 = 25347134421
BaseRepresentation
bin111110001001111…
…011011011100000
32200200012020010000
4332021323123200
54113423240422
6251250340000
734561366260
oct7611733340
92620166100
101042790112
1149569a711
1225128a600
1313806c990
149c6c97a0
1561834cac
hex3e27b6e0

1042790112 has 240 divisors, whose sum is σ = 3775397472. Its totient is φ = 274959360.

The previous prime is 1042790107. The next prime is 1042790117. The reversal of 1042790112 is 2110972401.

It is an interprime number because it is at equal distance from previous prime (1042790107) and next prime (1042790117).

It is a super-2 number, since 2×10427901122 = 2174822435369945088, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) 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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1042790117) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 233662 + ... + 238082.

Almost surely, 21042790112 is an apocalyptic number.

1042790112 is a gapful number since it is divisible by the number (12) 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 1042790112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1887698736).

1042790112 is an abundant number, since it is smaller than the sum of its proper divisors (2732607360).

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

1042790112 is a wasteful number, since it uses less digits than its factorization.

1042790112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4463 (or 4446 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 1042790112 is about 32292.2608685115. The cubic root of 1042790112 is about 1014.0646294719.

The spelling of 1042790112 in words is "one billion, forty-two million, seven hundred ninety thousand, one hundred twelve".