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1148168 = 237229101
BaseRepresentation
bin100011000010100001000
32011022222202
410120110020
5243220133
640335332
712521300
oct4302410
92138882
101148168
117146aa
12474548
133127b8
1421c600
1517a2e8
hex118508

1148168 has 48 divisors (see below), whose sum is σ = 2616300. Its totient is φ = 470400.

The previous prime is 1148167. The next prime is 1148171. The reversal of 1148168 is 8618411.

It can be written as a sum of positive squares in 2 ways, for example, as 1044484 + 103684 = 1022^2 + 322^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 1148168.

It is not an unprimeable number, because it can be changed into a prime (1148167) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11318 + ... + 11418.

21148168 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 1148168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1308150).

1148168 is an abundant number, since it is smaller than the sum of its proper divisors (1468132).

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

1148168 is a wasteful number, since it uses less digits than its factorization.

1148168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 139 counting only the distinct ones).

The product of its digits is 1536, while the sum is 29.

The square root of 1148168 is about 1071.5260146165. The cubic root of 1148168 is about 104.7132919150.

The spelling of 1148168 in words is "one million, one hundred forty-eight thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 14 28 29 49 56 58 98 101 116 196 202 203 232 392 404 406 707 808 812 1414 1421 1624 2828 2842 2929 4949 5656 5684 5858 9898 11368 11716 19796 20503 23432 39592 41006 82012 143521 164024 287042 574084 1148168