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2132869392 = 243261242813
BaseRepresentation
bin111111100100001…
…0000000100010000
312111122100222202200
41333020100010100
513332003310032
6551350443200
7103566043053
oct17710200420
95448328680
102132869392
119a4a49385
124b6363500
1327cb58bc4
141633a4a9a
15c73ab47c
hex7f210110

2132869392 has 60 divisors (see below), whose sum is σ = 6066950604. Its totient is φ = 699298560.

The previous prime is 2132869363. The next prime is 2132869393. The reversal of 2132869392 is 2939682312.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 56791296 + 2076078096 = 7536^2 + 45564^2 .

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2132869393) 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 11 ways as a sum of consecutive naturals, for example, 112623 + ... + 130190.

Almost surely, 22132869392 is an apocalyptic number.

It is an amenable number.

2132869392 is an abundant number, since it is smaller than the sum of its proper divisors (3934081212).

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

2132869392 is a wasteful number, since it uses less digits than its factorization.

2132869392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242888 (or 242879 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 2132869392 is about 46182.9989498300. The cubic root of 2132869392 is about 1287.2258538685.

The spelling of 2132869392 in words is "two billion, one hundred thirty-two million, eight hundred sixty-nine thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 61 72 122 144 183 244 366 488 549 732 976 1098 1464 2196 2928 4392 8784 242813 485626 728439 971252 1456878 1942504 2185317 2913756 3885008 4370634 5827512 8741268 11655024 14811593 17482536 29623186 34965072 44434779 59246372 88869558 118492744 133304337 177739116 236985488 266608674 355478232 533217348 710956464 1066434696 2132869392