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180148 = 22291553
BaseRepresentation
bin101011111110110100
3100011010011
4223332310
521231043
63510004
71350133
oct537664
9304104
10180148
11113391
1288304
1363cc7
144991a
153859d
hex2bfb4

180148 has 12 divisors (see below), whose sum is σ = 326340. Its totient is φ = 86912.

The previous prime is 180137. The next prime is 180161. The reversal of 180148 is 841081.

It can be written as a sum of positive squares in 2 ways, for example, as 51984 + 128164 = 228^2 + 358^2 .

It is a congruent number.

It is an unprimeable number.

180148 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 661 + ... + 892.

It is an arithmetic number, because the mean of its divisors is an integer number (27195).

2180148 is an apocalyptic number.

It is an amenable number.

180148 is a deficient number, since it is larger than the sum of its proper divisors (146192).

180148 is a wasteful number, since it uses less digits than its factorization.

180148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1586 (or 1584 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

The square root of 180148 is about 424.4384525464. The cubic root of 180148 is about 56.4776323082.

It can be divided in two parts, 1801 and 48, that added together give a square (1849 = 432).

The spelling of 180148 in words is "one hundred eighty thousand, one hundred forty-eight".

Divisors: 1 2 4 29 58 116 1553 3106 6212 45037 90074 180148