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1022120 = 2351123101
BaseRepresentation
bin11111001100010101000
31220221002022
43321202220
5230201440
633524012
711454641
oct3714250
91827068
101022120
11638a30
12413608
1329a308
141c86c8
15152cb5
hexf98a8

1022120 has 64 divisors (see below), whose sum is σ = 2643840. Its totient is φ = 352000.

The previous prime is 1022113. The next prime is 1022123. The reversal of 1022120 is 212201.

Adding to 1022120 its reverse (212201), we get a palindrome (1234321).

It can be divided in two parts, 102 and 2120, that added together give a palindrome (2222).

1022120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 10112-1.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 1022098 and 1022107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10070 + ... + 10170.

It is an arithmetic number, because the mean of its divisors is an integer number (41310).

21022120 is an apocalyptic number.

1022120 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 1022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1321920).

1022120 is an abundant number, since it is smaller than the sum of its proper divisors (1621720).

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

1022120 is a wasteful number, since it uses less digits than its factorization.

1022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 1022120 is about 1010.9995054400. Note that the first 3 decimals coincide. The cubic root of 1022120 is about 100.7319625692.

The spelling of 1022120 in words is "one million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 23 40 44 46 55 88 92 101 110 115 184 202 220 230 253 404 440 460 505 506 808 920 1010 1012 1111 1265 2020 2024 2222 2323 2530 4040 4444 4646 5060 5555 8888 9292 10120 11110 11615 18584 22220 23230 25553 44440 46460 51106 92920 102212 127765 204424 255530 511060 1022120