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1068355520 = 26523379383
BaseRepresentation
bin111111101011011…
…100111111000000
32202110022002020222
4333223130333000
54141444334040
6254002322212
735321605061
oct7753347700
92673262228
101068355520
114a9071351
12259959368
1314045133b
14a1c62568
1563bd4bb5
hex3fadcfc0

1068355520 has 112 divisors (see below), whose sum is σ = 2668584960. Its totient is φ = 406619136.

The previous prime is 1068355513. The next prime is 1068355549. The reversal of 1068355520 is 255538601.

It is a super-2 number, since 2×10683555202 = 2282767034228940800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2789249 + ... + 2789631.

Almost surely, 21068355520 is an apocalyptic number.

1068355520 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 1068355520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1334292480).

1068355520 is an abundant number, since it is smaller than the sum of its proper divisors (1600229440).

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

1068355520 is a wasteful number, since it uses less digits than its factorization.

1068355520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 35.

The square root of 1068355520 is about 32685.7081918076. The cubic root of 1068355520 is about 1022.2848689465.

The spelling of 1068355520 in words is "one billion, sixty-eight million, three hundred fifty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 160 184 230 320 368 379 383 460 736 758 766 920 1472 1516 1532 1840 1895 1915 3032 3064 3680 3790 3830 6064 6128 7360 7580 7660 8717 8809 12128 12256 15160 15320 17434 17618 24256 24512 30320 30640 34868 35236 43585 44045 60640 61280 69736 70472 87170 88090 121280 122560 139472 140944 145157 174340 176180 278944 281888 290314 348680 352360 557888 563776 580628 697360 704720 725785 1161256 1394720 1409440 1451570 2322512 2789440 2818880 2903140 3338611 4645024 5806280 6677222 9290048 11612560 13354444 16693055 23225120 26708888 33386110 46450240 53417776 66772220 106835552 133544440 213671104 267088880 534177760 1068355520