Search a number
-
+
1056168 = 233214669
BaseRepresentation
bin100000001110110101000
31222122210100
410001312220
5232244133
634345400
711656131
oct4016650
91878710
101056168
11661573
1242b260
132ac969
141d6c88
1515ce13
hex101da8

1056168 has 24 divisors (see below), whose sum is σ = 2860650. Its totient is φ = 352032.

The previous prime is 1056161. The next prime is 1056169. The reversal of 1056168 is 8616501.

It can be written as a sum of positive squares in only one way, i.e., 842724 + 213444 = 918^2 + 462^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×10561682 = 2230981688448, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1056161) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7263 + ... + 7406.

21056168 is an apocalyptic number.

1056168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1056168 is an abundant number, since it is smaller than the sum of its proper divisors (1804482).

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

1056168 is a wasteful number, since it uses less digits than its factorization.

1056168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14681 (or 14674 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 1056168 is about 1027.7003454315. The cubic root of 1056168 is about 101.8382673347.

The spelling of 1056168 in words is "one million, fifty-six thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 14669 29338 44007 58676 88014 117352 132021 176028 264042 352056 528084 1056168