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5640180 = 22357131033
BaseRepresentation
bin10101100000111111110100
3101121112212120
4111200333310
52420441210
6320515540
765640450
oct25407764
911545776
105640180
113202607
121a7bbb0
1312262b0
14a6b660
15766270
hex560ff4

5640180 has 96 divisors (see below), whose sum is σ = 19455744. Its totient is φ = 1188864.

The previous prime is 5640163. The next prime is 5640211. The reversal of 5640180 is 810465.

It is a self number, because there is not a number n which added to its sum of digits gives 5640180.

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, 4944 + ... + 5976.

It is an arithmetic number, because the mean of its divisors is an integer number (202664).

Almost surely, 25640180 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 5640180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9727872).

5640180 is an abundant number, since it is smaller than the sum of its proper divisors (13815564).

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

5640180 is a wasteful number, since it uses less digits than its factorization.

5640180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1065 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 5640180 is about 2374.9063139417. The cubic root of 5640180 is about 178.0045026846.

The spelling of 5640180 in words is "five million, six hundred forty thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 26 28 30 35 39 42 52 60 65 70 78 84 91 105 130 140 156 182 195 210 260 273 364 390 420 455 546 780 910 1033 1092 1365 1820 2066 2730 3099 4132 5165 5460 6198 7231 10330 12396 13429 14462 15495 20660 21693 26858 28924 30990 36155 40287 43386 53716 61980 67145 72310 80574 86772 94003 108465 134290 144620 161148 188006 201435 216930 268580 282009 376012 402870 433860 470015 564018 805740 940030 1128036 1410045 1880060 2820090 5640180