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2180120148 = 2232891016737
BaseRepresentation
bin1000000111110001…
…1111111001010100
312121221021120121200
42001330133321110
513431102321043
61000155312500
7105011500263
oct20174377124
95557246550
102180120148
11a19691598
1250a14b730
13289890b2b
141697845da
15cb5e17d3
hex81f1fe54

2180120148 has 72 divisors (see below), whose sum is σ = 5628790440. Its totient is φ = 711321600.

The previous prime is 2180120147. The next prime is 2180120161. The reversal of 2180120148 is 8410210812.

It can be written as a sum of positive squares in 4 ways, for example, as 548121744 + 1631998404 = 23412^2 + 40398^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2180120141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 320236 + ... + 326972.

It is an arithmetic number, because the mean of its divisors is an integer number (78177645).

Almost surely, 22180120148 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 2180120148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2814395220).

2180120148 is an abundant number, since it is smaller than the sum of its proper divisors (3448670292).

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

2180120148 is a wasteful number, since it uses less digits than its factorization.

2180120148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6937 (or 6932 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 2180120148 is about 46691.7567457041. The cubic root of 2180120148 is about 1296.6620774071.

The spelling of 2180120148 in words is "two billion, one hundred eighty million, one hundred twenty thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 89 101 178 202 267 303 356 404 534 606 801 909 1068 1212 1602 1818 3204 3636 6737 8989 13474 17978 20211 26948 26967 35956 40422 53934 60633 80844 80901 107868 121266 161802 242532 323604 599593 680437 1199186 1360874 1798779 2041311 2398372 2721748 3597558 4082622 5396337 6123933 7195116 8165244 10792674 12247866 21585348 24495732 60558893 121117786 181676679 242235572 363353358 545030037 726706716 1090060074 2180120148