Search a number
-
+
1022000 = 2453773
BaseRepresentation
bin11111001100000110000
31220220220212
43321200300
5230201000
633523252
711454410
oct3714060
91826825
101022000
11638931
12413528
1329a245
141c8640
15152c35
hexf9830

1022000 has 80 divisors (see below), whose sum is σ = 2862912. Its totient is φ = 345600.

The previous prime is 1021973. The next prime is 1022011. The reversal of 1022000 is 2201.

Adding to 1022000 its reverse (2201), we get a palindrome (1024201).

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

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a nialpdrome in base 16.

It is a zygodrome in base 2.

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, 13964 + ... + 14036.

21022000 is an apocalyptic number.

1022000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1022000 is the 584-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1431456).

1022000 is an abundant number, since it is smaller than the sum of its proper divisors (1840912).

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

1022000 is an equidigital number, since it uses as much as digits as its factorization.

1022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 5.

The square root of 1022000 is about 1010.9401564880. The cubic root of 1022000 is about 100.7280203352.

The spelling of 1022000 in words is "one million, twenty-two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 73 80 100 112 125 140 146 175 200 250 280 292 350 365 400 500 511 560 584 700 730 875 1000 1022 1168 1400 1460 1750 1825 2000 2044 2555 2800 2920 3500 3650 4088 5110 5840 7000 7300 8176 9125 10220 12775 14000 14600 18250 20440 25550 29200 36500 40880 51100 63875 73000 102200 127750 146000 204400 255500 511000 1022000