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3689000 = 235371731
BaseRepresentation
bin1110000100101000101000
320221102100122
432010220220
51421022000
6211022412
743233050
oct16045050
96842318
103689000
11209a667
12129aa08
139c2153
146c0560
154cd085
hex384a28

3689000 has 128 divisors (see below), whose sum is σ = 10782720. Its totient is φ = 1152000.

The previous prime is 3688991. The next prime is 3689009. The reversal of 3689000 is 9863.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3688991) and next prime (3689009).

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3689009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118985 + ... + 119015.

It is an arithmetic number, because the mean of its divisors is an integer number (84240).

Almost surely, 23689000 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 3689000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5391360).

3689000 is an abundant number, since it is smaller than the sum of its proper divisors (7093720).

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

3689000 is a wasteful number, since it uses less digits than its factorization.

3689000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 3689000 is about 1920.6769639895. The cubic root of 3689000 is about 154.5146106004.

The spelling of 3689000 in words is "three million, six hundred eighty-nine thousand".

Divisors: 1 2 4 5 7 8 10 14 17 20 25 28 31 34 35 40 50 56 62 68 70 85 100 119 124 125 136 140 155 170 175 200 217 238 248 250 280 310 340 350 425 434 476 500 527 595 620 680 700 775 850 868 875 952 1000 1054 1085 1190 1240 1400 1550 1700 1736 1750 2108 2125 2170 2380 2635 2975 3100 3400 3500 3689 3875 4216 4250 4340 4760 5270 5425 5950 6200 7000 7378 7750 8500 8680 10540 10850 11900 13175 14756 14875 15500 17000 18445 21080 21700 23800 26350 27125 29512 29750 31000 36890 43400 52700 54250 59500 65875 73780 92225 105400 108500 119000 131750 147560 184450 217000 263500 368900 461125 527000 737800 922250 1844500 3689000