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1122000 = 243531117
BaseRepresentation
bin100010001111011010000
32010000002120
410101323100
5241401000
640014240
712352065
oct4217320
92100076
101122000
116a6a80
12461380
13303909
14212c6c
151726a0
hex111ed0

1122000 has 160 divisors (see below), whose sum is σ = 4178304. Its totient is φ = 256000.

The previous prime is 1121993. The next prime is 1122001. The reversal of 1122000 is 2211.

Adding to 1122000 its reverse (2211), we get a palindrome (1124211).

It can be divided in two parts, 112 and 2000, that added together give a palindrome (2112).

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

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 10.

It is a self number, because there is not a number n which added to its sum of digits gives 1122000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1122001) 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, 65992 + ... + 66008.

21122000 is an apocalyptic number.

1122000 is a gapful number since it is divisible by the number (10) 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 1122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2089152).

1122000 is an abundant number, since it is smaller than the sum of its proper divisors (3056304).

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

1122000 is a wasteful number, since it uses less digits than its factorization.

1122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 1122000 is about 1059.2450141492. The cubic root of 1122000 is about 103.9116606846.

The spelling of 1122000 in words is "one million, one hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 17 20 22 24 25 30 33 34 40 44 48 50 51 55 60 66 68 75 80 85 88 100 102 110 120 125 132 136 150 165 170 176 187 200 204 220 240 250 255 264 272 275 300 330 340 374 375 400 408 425 440 500 510 528 550 561 600 660 680 748 750 816 825 850 880 935 1000 1020 1100 1122 1200 1275 1320 1360 1375 1496 1500 1650 1700 1870 2000 2040 2125 2200 2244 2550 2640 2750 2805 2992 3000 3300 3400 3740 4080 4125 4250 4400 4488 4675 5100 5500 5610 6000 6375 6600 6800 7480 8250 8500 8976 9350 10200 11000 11220 12750 13200 14025 14960 16500 17000 18700 20400 22000 22440 23375 25500 28050 33000 34000 37400 44880 46750 51000 56100 66000 70125 74800 93500 102000 112200 140250 187000 224400 280500 374000 561000 1122000