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1052123364 = 223329615507
BaseRepresentation
bin111110101101100…
…010000011100100
32201022202101221000
4332231202003210
54123320421424
6252222353300
735033621025
oct7655420344
92638671830
101052123364
1149a994946
1225442b830
13139c89c06
149da38c4c
156257a3c9
hex3eb620e4

1052123364 has 96 divisors (see below), whose sum is σ = 2868566400. Its totient is φ = 333002880.

The previous prime is 1052123357. The next prime is 1052123399. The reversal of 1052123364 is 4633212501.

1052123364 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10521233642 = 2213927146149352992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 188299 + ... + 193805.

It is an arithmetic number, because the mean of its divisors is an integer number (29880900).

Almost surely, 21052123364 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1052123364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1434283200).

1052123364 is an abundant number, since it is smaller than the sum of its proper divisors (1816443036).

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

1052123364 is a wasteful number, since it uses less digits than its factorization.

1052123364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5610 (or 5602 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 1052123364 is about 32436.4511622341. The cubic root of 1052123364 is about 1017.0810318219.

Adding to 1052123364 its reverse (4633212501), we get a palindrome (5685335865).

The spelling of 1052123364 in words is "one billion, fifty-two million, one hundred twenty-three thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 61 87 108 116 122 174 183 244 261 348 366 522 549 732 783 1044 1098 1566 1647 1769 2196 3132 3294 3538 5307 5507 6588 7076 10614 11014 15921 16521 21228 22028 31842 33042 47763 49563 63684 66084 95526 99126 148689 159703 191052 198252 297378 319406 335927 479109 594756 638812 671854 958218 1007781 1343708 1437327 1916436 2015562 2874654 3023343 4031124 4311981 5749308 6046686 8623962 9070029 9741883 12093372 17247924 18140058 19483766 29225649 36280116 38967532 58451298 87676947 116902596 175353894 263030841 350707788 526061682 1052123364