Search a number
-
+
1155168 = 25337191
BaseRepresentation
bin100011010000001100000
32011200121000
410122001200
5243431133
640432000
712550560
oct4320140
92150530
101155168
11719993
12478600
13315a41
14220da0
1517c413
hex11a060

1155168 has 96 divisors (see below), whose sum is σ = 3870720. Its totient is φ = 328320.

The previous prime is 1155151. The next prime is 1155169. The reversal of 1155168 is 8615511.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1155169) 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, 5953 + ... + 6143.

It is an arithmetic number, because the mean of its divisors is an integer number (40320).

21155168 is an apocalyptic number.

1155168 is a gapful number since it is divisible by the number (18) 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 1155168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1935360).

1155168 is an abundant number, since it is smaller than the sum of its proper divisors (2715552).

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

1155168 is a wasteful number, since it uses less digits than its factorization.

1155168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 203 counting only the distinct ones).

The product of its digits is 1200, while the sum is 27.

The square root of 1155168 is about 1074.7874208419. The cubic root of 1155168 is about 104.9256616678.

The spelling of 1155168 in words is "one million, one hundred fifty-five thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 191 216 224 252 288 336 378 382 432 504 573 672 756 764 864 1008 1146 1337 1512 1528 1719 2016 2292 2674 3024 3056 3438 4011 4584 5157 5348 6048 6112 6876 8022 9168 10314 10696 12033 13752 16044 18336 20628 21392 24066 27504 32088 36099 41256 42784 48132 55008 64176 72198 82512 96264 128352 144396 165024 192528 288792 385056 577584 1155168