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3681860 = 2257213172
BaseRepresentation
bin1110000010111001000100
320221001120012
432002321010
51420304420
6210525352
743203200
oct16027104
96831505
103681860
112095266
121296858
139bbb20
146bbb00
154cadc5
hex382e44

3681860 has 108 divisors (see below), whose sum is σ = 10289412. Its totient is φ = 1096704.

The previous prime is 3681827. The next prime is 3681871. The reversal of 3681860 is 681863.

It can be written as a sum of positive squares in 6 ways, for example, as 3136 + 3678724 = 56^2 + 1918^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 216572 + ... + 216588.

Almost surely, 23681860 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 3681860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5144706).

3681860 is an abundant number, since it is smaller than the sum of its proper divisors (6607552).

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

3681860 is a wasteful number, since it uses less digits than its factorization.

3681860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 3681860 is about 1918.8173440951. The cubic root of 3681860 is about 154.4148593715.

The spelling of 3681860 in words is "three million, six hundred eighty-one thousand, eight hundred sixty".

Divisors: 1 2 4 5 7 10 13 14 17 20 26 28 34 35 49 52 65 68 70 85 91 98 119 130 140 170 182 196 221 238 245 260 289 340 364 442 455 476 490 578 595 637 833 884 910 980 1105 1156 1190 1274 1445 1547 1666 1820 2023 2210 2380 2548 2890 3094 3185 3332 3757 4046 4165 4420 5780 6188 6370 7514 7735 8092 8330 10115 10829 12740 14161 15028 15470 16660 18785 20230 21658 26299 28322 30940 37570 40460 43316 52598 54145 56644 70805 75140 105196 108290 131495 141610 184093 216580 262990 283220 368186 525980 736372 920465 1840930 3681860