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675123660 = 22345835021
BaseRepresentation
bin101000001111011…
…001000111001100
31202001100211120000
4220033121013030
52340312424120
6150554124300
722505312361
oct5017310714
91661324500
10675123660
113170a9442
1216a120690
13a9b3c573
1465940468
153e40b990
hex283d91cc

675123660 has 120 divisors (see below), whose sum is σ = 2143831536. Its totient is φ = 177828480.

The previous prime is 675123643. The next prime is 675123667. The reversal of 675123660 is 66321576.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (675123667) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 131950 + ... + 136970.

Almost surely, 2675123660 is an apocalyptic number.

675123660 is a gapful number since it is divisible by the number (60) 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 675123660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1071915768).

675123660 is an abundant number, since it is smaller than the sum of its proper divisors (1468707876).

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

675123660 is a wasteful number, since it uses less digits than its factorization.

675123660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5125 (or 5114 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 675123660 is about 25983.1418423562. The cubic root of 675123660 is about 877.2588861979.

The spelling of 675123660 in words is "six hundred seventy-five million, one hundred twenty-three thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 83 90 108 135 162 166 180 249 270 324 332 405 415 498 540 747 810 830 996 1245 1494 1620 1660 2241 2490 2988 3735 4482 4980 5021 6723 7470 8964 10042 11205 13446 14940 15063 20084 22410 25105 26892 30126 33615 44820 45189 50210 60252 67230 75315 90378 100420 134460 135567 150630 180756 225945 271134 301260 406701 416743 451890 542268 677835 813402 833486 903780 1250229 1355670 1626804 1666972 2033505 2083715 2500458 2711340 3750687 4067010 4167430 5000916 6251145 7501374 8134020 8334860 11252061 12502290 15002748 18753435 22504122 25004580 33756183 37506870 45008244 56260305 67512366 75013740 112520610 135024732 168780915 225041220 337561830 675123660