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2067000 = 233531353
BaseRepresentation
bin111111000101000111000
310220000101120
413320220320
51012121000
6112145240
723366145
oct7705070
93800346
102067000
111191a71
12838220
13574aa0
143bb3cc
152ac6a0
hex1f8a38

2067000 has 128 divisors (see below), whose sum is σ = 7076160. Its totient is φ = 499200.

The previous prime is 2066993. The next prime is 2067001. The reversal of 2067000 is 7602.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2067001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38974 + ... + 39026.

22067000 is an apocalyptic number.

2067000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2067000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3538080).

2067000 is an abundant number, since it is smaller than the sum of its proper divisors (5009160).

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

2067000 is a wasteful number, since it uses less digits than its factorization.

2067000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 2067000 is about 1437.7065069061. The cubic root of 2067000 is about 127.3835923295.

The spelling of 2067000 in words is "two million, sixty-seven thousand".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 25 26 30 39 40 50 52 53 60 65 75 78 100 104 106 120 125 130 150 156 159 195 200 212 250 260 265 300 312 318 325 375 390 424 500 520 530 600 636 650 689 750 780 795 975 1000 1060 1272 1300 1325 1378 1500 1560 1590 1625 1950 2067 2120 2600 2650 2756 3000 3180 3250 3445 3900 3975 4134 4875 5300 5512 6360 6500 6625 6890 7800 7950 8268 9750 10335 10600 13000 13250 13780 15900 16536 17225 19500 19875 20670 26500 27560 31800 34450 39000 39750 41340 51675 53000 68900 79500 82680 86125 103350 137800 159000 172250 206700 258375 344500 413400 516750 689000 1033500 2067000