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5660820 = 2233511953
BaseRepresentation
bin10101100110000010010100
3101122121012000
4111212002110
52422121240
6321155300
766054564
oct25460224
911577160
105660820
113217070
121a8bb30
1312327c9
14a74da4
1576c430
hex566094

5660820 has 96 divisors (see below), whose sum is σ = 19232640. Its totient is φ = 1370880.

The previous prime is 5660807. The next prime is 5660833. The reversal of 5660820 is 280665.

5660820 is a `hidden beast` number, since 56 + 608 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5660807) and next prime (5660833).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 5464 + ... + 6416.

It is an arithmetic number, because the mean of its divisors is an integer number (200340).

Almost surely, 25660820 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 5660820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9616320).

5660820 is an abundant number, since it is smaller than the sum of its proper divisors (13571820).

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

5660820 is a wasteful number, since it uses less digits than its factorization.

5660820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 5660820 is about 2379.2477802869. The cubic root of 5660820 is about 178.2213716730.

The spelling of 5660820 in words is "five million, six hundred sixty thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 132 135 165 180 198 220 270 297 330 396 495 540 594 660 953 990 1188 1485 1906 1980 2859 2970 3812 4765 5718 5940 8577 9530 10483 11436 14295 17154 19060 20966 25731 28590 31449 34308 41932 42885 51462 52415 57180 62898 85770 94347 102924 104830 125796 128655 157245 171540 188694 209660 257310 283041 314490 377388 471735 514620 566082 628980 943470 1132164 1415205 1886940 2830410 5660820