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1043425920 = 27352232437
BaseRepresentation
bin111110001100010…
…110101010000000
32200201101112021110
4332030112222000
54114104112140
6251312123320
734566655035
oct7614265200
92621345243
101043425920
11495a94379
12251536540
131382331b4
149c81338c
156190d380
hex3e316a80

1043425920 has 128 divisors (see below), whose sum is σ = 3342205440. Its totient is φ = 276885504.

The previous prime is 1043425913. The next prime is 1043425921. The reversal of 1043425920 is 295243401.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1043425921) 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 15 ways as a sum of consecutive naturals, for example, 426942 + ... + 429378.

It is an arithmetic number, because the mean of its divisors is an integer number (26110980).

Almost surely, 21043425920 is an apocalyptic number.

1043425920 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 1043425920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1671102720).

1043425920 is an abundant number, since it is smaller than the sum of its proper divisors (2298779520).

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

1043425920 is a wasteful number, since it uses less digits than its factorization.

1043425920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2682 (or 2670 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 1043425920 is about 32302.1039562441. The cubic root of 1043425920 is about 1014.2706854500.

The spelling of 1043425920 in words is "one billion, forty-three million, four hundred twenty-five thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 223 240 320 384 446 480 640 669 892 960 1115 1338 1784 1920 2230 2437 2676 3345 3568 4460 4874 5352 6690 7136 7311 8920 9748 10704 12185 13380 14272 14622 17840 19496 21408 24370 26760 28544 29244 35680 36555 38992 42816 48740 53520 58488 71360 73110 77984 85632 97480 107040 116976 142720 146220 155968 194960 214080 233952 292440 311936 389920 428160 467904 543451 584880 779840 935808 1086902 1169760 1559680 1630353 2173804 2339520 2717255 3260706 4347608 4679040 5434510 6521412 8151765 8695216 10869020 13042824 16303530 17390432 21738040 26085648 32607060 34780864 43476080 52171296 65214120 69561728 86952160 104342592 130428240 173904320 208685184 260856480 347808640 521712960 1043425920