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1145275760 = 245435772
BaseRepresentation
bin100010001000011…
…1000010101110000
32221211001000222202
41010100320111300
54321142311020
6305351122332
740244453246
oct10420702560
92854030882
101145275760
115385296a2
1227b6733a8
13153373985
14ac166796
156a82ae75
hex44438570

1145275760 has 60 divisors (see below), whose sum is σ = 2729421288. Its totient is φ = 446681088.

The previous prime is 1145275723. The next prime is 1145275783. The reversal of 1145275760 is 675725411.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1984592 + ... + 1985168.

Almost surely, 21145275760 is an apocalyptic number.

1145275760 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 1145275760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1364710644).

1145275760 is an abundant number, since it is smaller than the sum of its proper divisors (1584145528).

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

1145275760 is an frugal number, since it uses more digits than its factorization.

1145275760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1210 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 38.

The square root of 1145275760 is about 33841.9231132038. The cubic root of 1145275760 is about 1046.2529357721.

The spelling of 1145275760 in words is "one billion, one hundred forty-five million, two hundred seventy-five thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 172 215 344 430 577 688 860 1154 1720 2308 2885 3440 4616 5770 9232 11540 23080 24811 46160 49622 99244 124055 198488 248110 332929 396976 496220 665858 992440 1331716 1664645 1984880 2663432 3329290 5326864 6658580 13317160 14315947 26634320 28631894 57263788 71579735 114527576 143159470 229055152 286318940 572637880 1145275760