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1152288018 = 236721272
BaseRepresentation
bin100010010101110…
…1000010100010010
32222022020022000000
41010223220110102
54324441204033
6310201310430
740361200200
oct10453502422
92868208000
101152288018
11541489052
12281a95416
1315495a63b
14ad070070
156b263a13
hex44ae8512

1152288018 has 126 divisors (see below), whose sum is σ = 3038482071. Its totient is φ = 326632824.

The previous prime is 1152287933. The next prime is 1152288019. The reversal of 1152288018 is 8108822511.

It can be written as a sum of positive squares in only one way, i.e., 576144009 + 576144009 = 24003^2 + 24003^2 .

It is a tau number, because it is divible by the number of its divisors (126).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=24003.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1152288019) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 9073071 + ... + 9073197.

Almost surely, 21152288018 is an apocalyptic number.

1152288018 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1152288018

1152288018 is an abundant number, since it is smaller than the sum of its proper divisors (1886194053).

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

1152288018 is an frugal number, since it uses more digits than its factorization.

1152288018 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 36.

The square root of 1152288018 is about 33945.3681376414. The cubic root of 1152288018 is about 1048.3839139102.

The spelling of 1152288018 in words is "one billion, one hundred fifty-two million, two hundred eighty-eight thousand, eighteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 127 147 162 189 243 254 294 378 381 441 486 567 729 762 882 889 1134 1143 1323 1458 1701 1778 2286 2646 2667 3402 3429 3969 5103 5334 6223 6858 7938 8001 10206 10287 11907 12446 16002 16129 18669 20574 23814 24003 30861 32258 35721 37338 48006 48387 56007 61722 71442 72009 92583 96774 112014 112903 144018 145161 168021 185166 216027 225806 290322 336042 338709 432054 435483 504063 648081 677418 790321 870966 1008126 1016127 1296162 1306449 1512189 1580642 2032254 2370963 2612898 3024378 3048381 3919347 4536567 4741926 6096762 7112889 7838694 9073134 9145143 11758041 14225778 18290286 21338667 23516082 27435429 42677334 54870858 64016001 82306287 128032002 164612574 192048003 384096006 576144009 1152288018