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1042794720 = 2532511431531
BaseRepresentation
bin111110001001111…
…100100011100000
32200200012110102200
4332021330203200
54113423412340
6251250413200
734561415562
oct7611744340
92620173380
101042794720
114956a3120
12251291200
13138071ac6
149c6cb332
1561836330
hex3e27c8e0

1042794720 has 288 divisors, whose sum is σ = 3974914944. Its totient is φ = 246758400.

The previous prime is 1042794703. The next prime is 1042794761. The reversal of 1042794720 is 274972401.

1042794720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 680355 + ... + 681885.

It is an arithmetic number, because the mean of its divisors is an integer number (13801788).

Almost surely, 21042794720 is an apocalyptic number.

1042794720 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 1042794720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1987457472).

1042794720 is an abundant number, since it is smaller than the sum of its proper divisors (2932120224).

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

1042794720 is a wasteful number, since it uses less digits than its factorization.

1042794720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1606 (or 1595 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 1042794720 is about 32292.3322167972. The cubic root of 1042794720 is about 1014.0661231579.

The spelling of 1042794720 in words is "one billion, forty-two million, seven hundred ninety-four thousand, seven hundred twenty".