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1868148 = 223251893
BaseRepresentation
bin111001000000101110100
310111220121200
413020011310
5434240043
6104012500
721610332
oct7100564
93456550
101868148
111066627
12761130
13505419
14368b52
1526d7d3
hex1c8174

1868148 has 18 divisors (see below), whose sum is σ = 4722354. Its totient is φ = 622704.

The previous prime is 1868107. The next prime is 1868149. The reversal of 1868148 is 8418681.

It can be written as a sum of positive squares in only one way, i.e., 1192464 + 675684 = 1092^2 + 822^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 51893 = 1868148 / (1 + 8 + 6 + 8 + 1 + 4 + 8).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1868149) 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, 25911 + ... + 25982.

It is an arithmetic number, because the mean of its divisors is an integer number (262353).

21868148 is an apocalyptic number.

1868148 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1868148 is an abundant number, since it is smaller than the sum of its proper divisors (2854206).

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

1868148 is a wasteful number, since it uses less digits than its factorization.

1868148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51903 (or 51898 counting only the distinct ones).

The product of its digits is 12288, while the sum is 36.

The square root of 1868148 is about 1366.8021071099. The cubic root of 1868148 is about 123.1602116131.

It can be divided in two parts, 1868 and 148, that added together give a triangular number (2016 = T63).

The spelling of 1868148 in words is "one million, eight hundred sixty-eight thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 51893 103786 155679 207572 311358 467037 622716 934074 1868148