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1075742580 = 2235114734679
BaseRepresentation
bin100000000011110…
…1000011101110100
32202222012101101210
41000013220131310
54200342230310
6254424521420
735441442513
oct10007503564
92688171353
101075742580
11502257360
12260320270
13141b39793
14a2c2667a
1564693820
hex401e8774

1075742580 has 96 divisors (see below), whose sum is σ = 3355914240. Its totient is φ = 255230080.

The previous prime is 1075742557. The next prime is 1075742611. The reversal of 1075742580 is 852475701.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 13681 + ... + 48359.

It is an arithmetic number, because the mean of its divisors is an integer number (34957440).

Almost surely, 21075742580 is an apocalyptic number.

1075742580 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 1075742580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1677957120).

1075742580 is an abundant number, since it is smaller than the sum of its proper divisors (2280171660).

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

1075742580 is a wasteful number, since it uses less digits than its factorization.

1075742580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34749 (or 34747 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 39.

The square root of 1075742580 is about 32798.5149054039. The cubic root of 1075742580 is about 1024.6356285675.

The spelling of 1075742580 in words is "one billion, seventy-five million, seven hundred forty-two thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 47 55 60 66 94 110 132 141 165 188 220 235 282 330 470 517 564 660 705 940 1034 1410 1551 2068 2585 2820 3102 5170 6204 7755 10340 15510 31020 34679 69358 104037 138716 173395 208074 346790 381469 416148 520185 693580 762938 1040370 1144407 1525876 1629913 1907345 2080740 2288814 3259826 3814690 4577628 4889739 5722035 6519652 7629380 8149565 9779478 11444070 16299130 17929043 19558956 22888140 24448695 32598260 35858086 48897390 53787129 71716172 89645215 97794780 107574258 179290430 215148516 268935645 358580860 537871290 1075742580