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1042076480 = 26547193359
BaseRepresentation
bin111110000111001…
…101001101000000
32200121211222012012
4332013031031000
54113232421410
6251223152052
734552334564
oct7607151500
92617758165
101042076480
11495252535
12250ba5628
13137b7cc03
149c5816a4
1561743605
hex3e1cd340

1042076480 has 112 divisors (see below), whose sum is σ = 2554467840. Its totient is φ = 404717568.

The previous prime is 1042076471. The next prime is 1042076509. The reversal of 1042076480 is 846702401.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2902541 + ... + 2902899.

Almost surely, 21042076480 is an apocalyptic number.

1042076480 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 1042076480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1277233920).

1042076480 is an abundant number, since it is smaller than the sum of its proper divisors (1512391360).

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

1042076480 is a wasteful number, since it uses less digits than its factorization.

1042076480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 1042076480 is about 32281.2093949406. The cubic root of 1042076480 is about 1013.8332520979.

Adding to 1042076480 its reverse (846702401), we get a palindrome (1888778881).

The spelling of 1042076480 in words is "one billion, forty-two million, seventy-six thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 64 80 94 160 188 193 235 320 359 376 386 470 718 752 772 940 965 1436 1504 1544 1795 1880 1930 2872 3008 3088 3590 3760 3860 5744 6176 7180 7520 7720 9071 11488 12352 14360 15040 15440 16873 18142 22976 28720 30880 33746 36284 45355 57440 61760 67492 69287 72568 84365 90710 114880 134984 138574 145136 168730 181420 269968 277148 290272 337460 346435 362840 539936 554296 580544 674920 692870 725680 1079872 1108592 1349840 1385740 1451360 2217184 2699680 2771480 2902720 3256489 4434368 5399360 5542960 6512978 11085920 13025956 16282445 22171840 26051912 32564890 52103824 65129780 104207648 130259560 208415296 260519120 521038240 1042076480