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1149820281 = 328921272
BaseRepresentation
bin100010010001000…
…1101110101111001
32222010120220220100
41010202031311321
54323323222111
6310032350013
740331211501
oct10442156571
92863526810
101149820281
11540052aa5
122810a5309
131542a533c
14ac9caa01
156ae27756
hex4488dd79

1149820281 has 27 divisors (see below), whose sum is σ = 1693052751. Its totient is φ = 751965984.

The previous prime is 1149820201. The next prime is 1149820297. The reversal of 1149820281 is 1820289411.

It is a happy number.

The square root of 1149820281 is 33909.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 220789881 + 929030400 = 14859^2 + 30480^2 .

It is a de Polignac number, because none of the positive numbers 2k-1149820281 is a prime.

It is a super-2 number, since 2×11498202812 = 2644173357197837922, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1149820201) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9053640 + ... + 9053766.

Almost surely, 21149820281 is an apocalyptic number.

1149820281 is the 33909-th square number.

1149820281 is the 16955-th centered octagonal number.

It is an amenable number.

1149820281 is a deficient number, since it is larger than the sum of its proper divisors (543232470).

1149820281 is an frugal number, since it uses more digits than its factorization.

1149820281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The cubic root of 1149820281 is about 1047.6349735983.

Multiplying 1149820281 by its sum of digits (36), we get a square (41393530116 = 2034542).

Multiplying 1149820281 by its product of nonzero digits (9216), we get a square (10596743709696 = 32552642).

The spelling of 1149820281 in words is "one billion, one hundred forty-nine million, eight hundred twenty thousand, two hundred eighty-one".

Divisors: 1 3 9 89 127 267 381 801 1143 7921 11303 16129 23763 33909 48387 71289 101727 145161 1005967 1435481 3017901 4306443 9053703 12919329 127757809 383273427 1149820281