Search a number
-
+
2706000 = 243531141
BaseRepresentation
bin1010010100101001010000
312002110221020
422110221100
51143043000
6133555440
732000133
oct12245120
95073836
102706000
111589070
12aa5b80
137398ab
1450621a
15386ba0
hex294a50

2706000 has 160 divisors (see below), whose sum is σ = 9749376. Its totient is φ = 640000.

The previous prime is 2705993. The next prime is 2706017. The reversal of 2706000 is 6072.

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

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, 65980 + ... + 66020.

22706000 is an apocalyptic number.

2706000 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 2706000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4874688).

2706000 is an abundant number, since it is smaller than the sum of its proper divisors (7043376).

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

2706000 is a wasteful number, since it uses less digits than its factorization.

2706000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 62 counting only the distinct ones).

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

The square root of 2706000 is about 1644.9924011983. The cubic root of 2706000 is about 139.3507351163.

The spelling of 2706000 in words is "two million, seven hundred six thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 41 44 48 50 55 60 66 75 80 82 88 100 110 120 123 125 132 150 164 165 176 200 205 220 240 246 250 264 275 300 328 330 375 400 410 440 451 492 500 528 550 600 615 656 660 750 820 825 880 902 984 1000 1025 1100 1200 1230 1320 1353 1375 1500 1640 1650 1804 1968 2000 2050 2200 2255 2460 2640 2706 2750 3000 3075 3280 3300 3608 4100 4125 4400 4510 4920 5125 5412 5500 6000 6150 6600 6765 7216 8200 8250 9020 9840 10250 10824 11000 11275 12300 13200 13530 15375 16400 16500 18040 20500 21648 22000 22550 24600 27060 30750 33000 33825 36080 41000 45100 49200 54120 56375 61500 66000 67650 82000 90200 108240 112750 123000 135300 169125 180400 225500 246000 270600 338250 451000 541200 676500 902000 1353000 2706000