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1075325440 = 2957232609
BaseRepresentation
bin100000000011000…
…0010101000000000
32202221102012012011
41000012002220000
54200240403230
6254411542304
735435054410
oct10006025000
92687365164
101075325440
11501aa1a12
1226015a994
13141a21957
14a2b58640
156460ee2a
hex40182a00

1075325440 has 160 divisors (see below), whose sum is σ = 3075874560. Its totient is φ = 352518144.

The previous prime is 1075325437. The next prime is 1075325453. The reversal of 1075325440 is 445235701.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×10753254402 = 2312649603822387200, which contains 22 as substring.

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, 410856 + ... + 413464.

It is an arithmetic number, because the mean of its divisors is an integer number (19224216).

Almost surely, 21075325440 is an apocalyptic number.

1075325440 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 1075325440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1537937280).

1075325440 is an abundant number, since it is smaller than the sum of its proper divisors (2000549120).

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

1075325440 is an equidigital number, since it uses as much as digits as its factorization.

1075325440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2662 (or 2646 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 31.

The square root of 1075325440 is about 32792.1551594280. The cubic root of 1075325440 is about 1024.5031706814.

The spelling of 1075325440 in words is "one billion, seventy-five million, three hundred twenty-five thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 32 35 40 46 56 64 70 80 92 112 115 128 140 160 161 184 224 230 256 280 320 322 368 448 460 512 560 640 644 736 805 896 920 1120 1280 1288 1472 1610 1792 1840 2240 2560 2576 2609 2944 3220 3584 3680 4480 5152 5218 5888 6440 7360 8960 10304 10436 11776 12880 13045 14720 17920 18263 20608 20872 25760 26090 29440 36526 41216 41744 51520 52180 58880 60007 73052 82432 83488 91315 103040 104360 120014 146104 166976 182630 206080 208720 240028 292208 300035 333952 365260 412160 417440 420049 480056 584416 600070 667904 730520 834880 840098 960112 1168832 1200140 1335808 1461040 1669760 1680196 1920224 2100245 2337664 2400280 2922080 3339520 3360392 3840448 4200490 4675328 4800560 5844160 6679040 6720784 7680896 8400980 9350656 9601120 11688320 13441568 15361792 16801960 19202240 23376640 26883136 30723584 33603920 38404480 46753280 53766272 67207840 76808960 107532544 134415680 153617920 215065088 268831360 537662720 1075325440