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2046000 = 243531131
BaseRepresentation
bin111110011100000110000
310211221120210
413303200300
51010433000
6111504120
723251005
oct7634060
93757523
102046000
111178210
12828040
13568368
143b38ac
152a6350
hex1f3830

2046000 has 160 divisors (see below), whose sum is σ = 7428096. Its totient is φ = 480000.

The previous prime is 2045999. The next prime is 2046013. The reversal of 2046000 is 6402.

It is a super-2 number, since 2×20460002 = 8372232000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a zygodrome in base 2.

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, 65985 + ... + 66015.

22046000 is an apocalyptic number.

2046000 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 2046000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3714048).

2046000 is an abundant number, since it is smaller than the sum of its proper divisors (5382096).

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

2046000 is a wasteful number, since it uses less digits than its factorization.

2046000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2046000 is about 1430.3845636751. The cubic root of 2046000 is about 126.9507321245.

The spelling of 2046000 in words is "two million, forty-six thousand", and thus it is an eban number.

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 31 33 40 44 48 50 55 60 62 66 75 80 88 93 100 110 120 124 125 132 150 155 165 176 186 200 220 240 248 250 264 275 300 310 330 341 372 375 400 440 465 496 500 528 550 600 620 660 682 744 750 775 825 880 930 1000 1023 1100 1200 1240 1320 1364 1375 1488 1500 1550 1650 1705 1860 2000 2046 2200 2325 2480 2640 2728 2750 3000 3100 3300 3410 3720 3875 4092 4125 4400 4650 5115 5456 5500 6000 6200 6600 6820 7440 7750 8184 8250 8525 9300 10230 11000 11625 12400 13200 13640 15500 16368 16500 17050 18600 20460 22000 23250 25575 27280 31000 33000 34100 37200 40920 42625 46500 51150 62000 66000 68200 81840 85250 93000 102300 127875 136400 170500 186000 204600 255750 341000 409200 511500 682000 1023000 2046000