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1022008 = 231331317
BaseRepresentation
bin11111001100000111000
31220220221011
43321200320
5230201013
633523304
711454421
oct3714070
91826834
101022008
11638939
12413534
1329a250
141c8648
15152c3d
hexf9838

1022008 has 32 divisors (see below), whose sum is σ = 2136960. Its totient is φ = 455040.

The previous prime is 1021973. The next prime is 1022011. The reversal of 1022008 is 8002201.

1022008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (13).

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 7 ways as a sum of consecutive naturals, for example, 3066 + ... + 3382.

It is an arithmetic number, because the mean of its divisors is an integer number (66780).

21022008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1022008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1068480).

1022008 is an abundant number, since it is smaller than the sum of its proper divisors (1114952).

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

1022008 is a wasteful number, since it uses less digits than its factorization.

1022008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 1022008 is about 1010.9441131932. The cubic root of 1022008 is about 100.7282831604.

Adding to 1022008 its reverse (8002201), we get a palindrome (9024209).

The spelling of 1022008 in words is "one million, twenty-two thousand, eight".

Divisors: 1 2 4 8 13 26 31 52 62 104 124 248 317 403 634 806 1268 1612 2536 3224 4121 8242 9827 16484 19654 32968 39308 78616 127751 255502 511004 1022008