Search a number
-
+
1146168 = 233215919
BaseRepresentation
bin100010111110100111000
32011020020200
410113310320
5243134133
640322200
712512412
oct4276470
92136220
101146168
11713151
12473360
1331190a
1421b9b2
15179913
hex117d38

1146168 has 24 divisors (see below), whose sum is σ = 3104400. Its totient is φ = 382032.

The previous prime is 1146143. The next prime is 1146179. The reversal of 1146168 is 8616411.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 7888 + ... + 8031.

It is an arithmetic number, because the mean of its divisors is an integer number (129350).

21146168 is an apocalyptic number.

1146168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1146168 is an abundant number, since it is smaller than the sum of its proper divisors (1958232).

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

1146168 is a wasteful number, since it uses less digits than its factorization.

1146168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15931 (or 15924 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 1146168 is about 1070.5923593974. The cubic root of 1146168 is about 104.6524563630.

The spelling of 1146168 in words is "one million, one hundred forty-six thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 15919 31838 47757 63676 95514 127352 143271 191028 286542 382056 573084 1146168