Search a number
-
+
1880261149 = 131745718617
BaseRepresentation
bin111000000010010…
…1000001000011101
311212001001011101211
41300010220020131
512322321324044
6510324304421
764410645634
oct16004501035
94761034354
101880261149
118853a4038
12445842111
1323c712280
1413ba0a51b
15b010e634
hex7012821d

1880261149 has 16 divisors (see below), whose sum is σ = 2148815088. Its totient is φ = 1629868032.

The previous prime is 1880261113. The next prime is 1880261161. The reversal of 1880261149 is 9411620881.

It can be written as a sum of positive squares in 8 ways, for example, as 383964025 + 1496297124 = 19595^2 + 38682^2 .

It is not a de Polignac number, because 1880261149 - 225 = 1846706717 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1880261249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91689 + ... + 110305.

It is an arithmetic number, because the mean of its divisors is an integer number (134300943).

Almost surely, 21880261149 is an apocalyptic number.

It is an amenable number.

1880261149 is a deficient number, since it is larger than the sum of its proper divisors (268553939).

1880261149 is a wasteful number, since it uses less digits than its factorization.

1880261149 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19104.

The product of its (nonzero) digits is 27648, while the sum is 40.

The square root of 1880261149 is about 43361.9781490651. The cubic root of 1880261149 is about 1234.2583031432.

The spelling of 1880261149 in words is "one billion, eight hundred eighty million, two hundred sixty-one thousand, one hundred forty-nine".

Divisors: 1 13 17 221 457 5941 7769 18617 100997 242021 316489 4114357 8507969 110603597 144635473 1880261149