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1120285873 = 72172575233
BaseRepresentation
bin100001011000110…
…0011010010110001
32220002000102022101
41002301203102301
54243243121443
6303055340401
736522162400
oct10261432261
92802012271
101120285873
115254103a3
12273221701
1314b134265
14a8add637
156854184d
hex42c634b1

1120285873 has 24 divisors (see below), whose sum is σ = 1385481672. Its totient is φ = 900071424.

The previous prime is 1120285867. The next prime is 1120285891. The reversal of 1120285873 is 3785820211.

It can be written as a sum of positive squares in 4 ways, for example, as 946915984 + 173369889 = 30772^2 + 13167^2 .

It is not a de Polignac number, because 1120285873 - 225 = 1086731441 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1121285873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 211465 + ... + 216697.

It is an arithmetic number, because the mean of its divisors is an integer number (57728403).

Almost surely, 21120285873 is an apocalyptic number.

It is an amenable number.

1120285873 is a deficient number, since it is larger than the sum of its proper divisors (265195799).

1120285873 is a wasteful number, since it uses less digits than its factorization.

1120285873 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5521 (or 5514 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 37.

The square root of 1120285873 is about 33470.6718337114. The cubic root of 1120285873 is about 1038.5871696315.

The spelling of 1120285873 in words is "one billion, one hundred twenty million, two hundred eighty-five thousand, eight hundred seventy-three".

Divisors: 1 7 17 49 119 257 833 1799 4369 5233 12593 30583 36631 88961 214081 256417 622727 1344881 4359089 9414167 22862977 65899169 160040839 1120285873