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183148820 = 225173131721
BaseRepresentation
bin10101110101010…
…10000100010100
3110202121220221122
422322222010110
5333341230240
630101303112
74352511401
oct1272520424
9422556848
10183148820
1194423468
1251404a98
132bc371aa
141a4772a8
151112b4b5
hexaeaa114

183148820 has 48 divisors (see below), whose sum is σ = 408775248. Its totient is φ = 68689920.

The previous prime is 183148817. The next prime is 183148829. The reversal of 183148820 is 28841381.

It can be written as a sum of positive squares in 8 ways, for example, as 4177936 + 178970884 = 2044^2 + 13378^2 .

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (183148829) 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, 105560 + ... + 107280.

It is an arithmetic number, because the mean of its divisors is an integer number (8516151).

Almost surely, 2183148820 is an apocalyptic number.

183148820 is a gapful number since it is divisible by the number (10) 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 183148820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204387624).

183148820 is an abundant number, since it is smaller than the sum of its proper divisors (225626428).

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

183148820 is a wasteful number, since it uses less digits than its factorization.

183148820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2060 (or 2058 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 35.

The square root of 183148820 is about 13533.2486861064. The cubic root of 183148820 is about 567.8949956327.

The spelling of 183148820 in words is "one hundred eighty-three million, one hundred forty-eight thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 313 340 626 1252 1565 1721 3130 3442 5321 6260 6884 8605 10642 17210 21284 26605 29257 34420 53210 58514 106420 117028 146285 292570 538673 585140 1077346 2154692 2693365 5386730 9157441 10773460 18314882 36629764 45787205 91574410 183148820