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3026000 = 24531789
BaseRepresentation
bin1011100010110001010000
312200201220002
423202301100
51233313000
6144505132
734502105
oct13426120
95621802
103026000
11178752a
12101b1a8
1381c443
1458aaac
153eb8d5
hex2e2c50

3026000 has 80 divisors (see below), whose sum is σ = 7834320. Its totient is φ = 1126400.

The previous prime is 3025999. The next prime is 3026021. The reversal of 3026000 is 6203.

3026000 = T215 + T216 + ... + T303.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1032256 + 1993744 = 1016^2 + 1412^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a plaindrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33956 + ... + 34044.

It is an arithmetic number, because the mean of its divisors is an integer number (97929).

Almost surely, 23026000 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 3026000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3917160).

3026000 is an abundant number, since it is smaller than the sum of its proper divisors (4808320).

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

3026000 is a wasteful number, since it uses less digits than its factorization.

3026000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 3026000 is about 1739.5401691252. The cubic root of 3026000 is about 144.6404090135.

The spelling of 3026000 in words is "three million, twenty-six thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 89 100 125 136 170 178 200 250 272 340 356 400 425 445 500 680 712 850 890 1000 1360 1424 1513 1700 1780 2000 2125 2225 3026 3400 3560 4250 4450 6052 6800 7120 7565 8500 8900 11125 12104 15130 17000 17800 22250 24208 30260 34000 35600 37825 44500 60520 75650 89000 121040 151300 178000 189125 302600 378250 605200 756500 1513000 3026000