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1026168 = 2331113223
BaseRepresentation
bin11111010100001111000
31221010122020
43322201320
5230314133
633554440
711502513
oct3724170
91833566
101026168
11640a80
12415a20
1329c100
141c9d7a
151540b3
hexfa878

1026168 has 96 divisors (see below), whose sum is σ = 3162240. Its totient is φ = 274560.

The previous prime is 1026167. The next prime is 1026197. The reversal of 1026168 is 8616201.

It is a Cunningham number, because it is equal to 10132-1.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1026167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44605 + ... + 44627.

It is an arithmetic number, because the mean of its divisors is an integer number (32940).

21026168 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 1026168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1581120).

1026168 is an abundant number, since it is smaller than the sum of its proper divisors (2136072).

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

1026168 is a wasteful number, since it uses less digits than its factorization.

1026168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 1026168 is about 1012.9995064165. Note that the first 3 decimals coincide. The cubic root of 1026168 is about 100.8647668925.

The spelling of 1026168 in words is "one million, twenty-six thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 13 22 23 24 26 33 39 44 46 52 66 69 78 88 92 104 132 138 143 156 169 184 253 264 276 286 299 312 338 429 506 507 552 572 598 676 759 858 897 1012 1014 1144 1196 1352 1518 1716 1794 1859 2024 2028 2392 3036 3289 3432 3588 3718 3887 4056 5577 6072 6578 7176 7436 7774 9867 11154 11661 13156 14872 15548 19734 22308 23322 26312 31096 39468 42757 44616 46644 78936 85514 93288 128271 171028 256542 342056 513084 1026168