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675505460 = 22576183953
BaseRepresentation
bin101000010000110…
…110010100110100
31202002002020021202
4220100312110310
52340412133320
6151010232032
722511462450
oct5020662464
91662066252
10675505460
1131733a283
1216a285618
13a9c44296
14659dd660
153e484b75
hex28436534

675505460 has 96 divisors (see below), whose sum is σ = 1669393152. Its totient is φ = 224824320.

The previous prime is 675505459. The next prime is 675505477. The reversal of 675505460 is 64505576.

675505460 = T13889 + T13890 + ... + T13895.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 708344 + ... + 709296.

It is an arithmetic number, because the mean of its divisors is an integer number (17389512).

Almost surely, 2675505460 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 675505460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (834696576).

675505460 is an abundant number, since it is smaller than the sum of its proper divisors (993887692).

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

675505460 is a wasteful number, since it uses less digits than its factorization.

675505460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1113 (or 1111 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 38.

The square root of 675505460 is about 25990.4878753747. The cubic root of 675505460 is about 877.4242259442.

The spelling of 675505460 in words is "six hundred seventy-five million, five hundred five thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 61 70 83 122 140 166 244 305 332 415 427 581 610 830 854 953 1162 1220 1660 1708 1906 2135 2324 2905 3812 4270 4765 5063 5810 6671 8540 9530 10126 11620 13342 19060 20252 25315 26684 33355 35441 50630 58133 66710 70882 79099 101260 116266 133420 141764 158198 177205 232532 290665 316396 354410 395495 406931 553693 581330 708820 790990 813862 1107386 1162660 1581980 1627724 2034655 2214772 2768465 4069310 4825039 5536930 8138620 9650078 11073860 19300156 24125195 33775273 48250390 67550546 96500780 135101092 168876365 337752730 675505460