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1155123340 = 225741533797
BaseRepresentation
bin100010011011001…
…1100100010001100
32222111120100022221
41010312130202030
54331202421330
6310342145124
740424246350
oct10466344214
92874510287
101155123340
11543045298
12282a221a4
13155411047
14ad5ab460
156b623b7a
hex44d9c88c

1155123340 has 96 divisors (see below), whose sum is σ = 2894258304. Its totient is φ = 378992640.

The previous prime is 1155123329. The next prime is 1155123383. The reversal of 1155123340 is 433215511.

It is a happy number.

It is a super-2 number, since 2×11551233402 = 2668619861225511200, which contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 302322 + ... + 306118.

It is an arithmetic number, because the mean of its divisors is an integer number (30148524).

Almost surely, 21155123340 is an apocalyptic number.

1155123340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1155123340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1447129152).

1155123340 is an abundant number, since it is smaller than the sum of its proper divisors (1739134964).

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

1155123340 is a wasteful number, since it uses less digits than its factorization.

1155123340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3907 (or 3905 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 1155123340 is about 33987.1054960554. The cubic root of 1155123340 is about 1049.2430947184.

Adding to 1155123340 its reverse (433215511), we get a palindrome (1588338851).

The spelling of 1155123340 in words is "one billion, one hundred fifty-five million, one hundred twenty-three thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 41 53 70 82 106 140 164 205 212 265 287 371 410 530 574 742 820 1060 1148 1435 1484 1855 2173 2870 3710 3797 4346 5740 7420 7594 8692 10865 15188 15211 18985 21730 26579 30422 37970 43460 53158 60844 75940 76055 106316 132895 152110 155677 201241 265790 304220 311354 402482 531580 622708 778385 804964 1006205 1089739 1408687 1556770 2012410 2179478 2817374 3113540 4024820 4358956 5448695 5634748 7043435 8250881 10897390 14086870 16501762 21794780 28173740 33003524 41254405 57756167 82508810 115512334 165017620 231024668 288780835 577561670 1155123340