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1043798080 = 26513219301
BaseRepresentation
bin111110001101110…
…001100001000000
32200202002102210011
4332031301201000
54114203014310
6251324114304
734603065043
oct7615614100
92622072704
101043798080
11496218a46
12251695994
13138333700
149c8acc5a
156198378a
hex3e371840

1043798080 has 84 divisors (see below), whose sum is σ = 2691586692. Its totient is φ = 385382400.

The previous prime is 1043798071. The next prime is 1043798081. The reversal of 1043798080 is 808973401.

It can be written as a sum of positive squares in 6 ways, for example, as 180848704 + 862949376 = 13448^2 + 29376^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (1043798081) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 44430 + ... + 63730.

Almost surely, 21043798080 is an apocalyptic number.

1043798080 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 1043798080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1345793346).

1043798080 is an abundant number, since it is smaller than the sum of its proper divisors (1647788612).

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

1043798080 is a wasteful number, since it uses less digits than its factorization.

1043798080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19344 (or 19321 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The square root of 1043798080 is about 32307.8640581515. The cubic root of 1043798080 is about 1014.3912581718.

The spelling of 1043798080 in words is "one billion, forty-three million, seven hundred ninety-eight thousand, eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 169 208 260 320 338 416 520 676 832 845 1040 1352 1690 2080 2704 3380 4160 5408 6760 10816 13520 19301 27040 38602 54080 77204 96505 154408 193010 250913 308816 386020 501826 617632 772040 1003652 1235264 1254565 1544080 2007304 2509130 3088160 3261869 4014608 5018260 6176320 6523738 8029216 10036520 13047476 16058432 16309345 20073040 26094952 32618690 40146080 52189904 65237380 80292160 104379808 130474760 208759616 260949520 521899040 1043798080