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745083560 = 235132296257
BaseRepresentation
bin101100011010010…
…001001010101000
31220221000011111102
4230122101022220
53011220133220
6201533420532
724315051164
oct5432211250
91827004442
10745083560
11352642341
1218963a748
13bb495a60
1470d51ca4
154562a775
hex2c6912a8

745083560 has 64 divisors (see below), whose sum is σ = 1813568400. Its totient is φ = 273862656.

The previous prime is 745083557. The next prime is 745083569. The reversal of 745083560 is 65380547.

It can be written as a sum of positive squares in 8 ways, for example, as 604471396 + 140612164 = 24586^2 + 11858^2 .

It is a super-2 number, since 2×7450835602 = 1110299022764547200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (745083569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115952 + ... + 122208.

Almost surely, 2745083560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 745083560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (906784200).

745083560 is an abundant number, since it is smaller than the sum of its proper divisors (1068484840).

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

745083560 is a wasteful number, since it uses less digits than its factorization.

745083560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6510 (or 6506 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 38.

The square root of 745083560 is about 27296.2187857586. The cubic root of 745083560 is about 906.5706615714.

The spelling of 745083560 in words is "seven hundred forty-five million, eighty-three thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 229 260 458 520 916 1145 1832 2290 2977 4580 5954 6257 9160 11908 12514 14885 23816 25028 29770 31285 50056 59540 62570 81341 119080 125140 162682 250280 325364 406705 650728 813410 1432853 1626820 2865706 3253640 5731412 7164265 11462824 14328530 18627089 28657060 37254178 57314120 74508356 93135445 149016712 186270890 372541780 745083560