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1131626052 = 22342924153
BaseRepresentation
bin100001101110011…
…0011111001000100
32220212100120010000
41003130303321010
54304144013202
6304142401300
740020443214
oct10334637104
92825316100
101131626052
11530856447
12276b90230
131505a4b1b
14aa412244
156953191c
hex43733e44

1131626052 has 90 divisors (see below), whose sum is σ = 3064559498. Its totient is φ = 364113792.

The previous prime is 1131626039. The next prime is 1131626053. The reversal of 1131626052 is 2506261311.

1131626052 is a `hidden beast` number, since 1 + 1 + 31 + 626 + 0 + 5 + 2 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 7096896 + 1124529156 = 2664^2 + 33534^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1131626053) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 270408 + ... + 274560.

Almost surely, 21131626052 is an apocalyptic number.

1131626052 is a gapful number since it is divisible by the number (12) 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 1131626052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1532279749).

1131626052 is an abundant number, since it is smaller than the sum of its proper divisors (1932933446).

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

1131626052 is a wasteful number, since it uses less digits than its factorization.

1131626052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4227 (or 4187 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1131626052 is about 33639.6499981792. The cubic root of 1131626052 is about 1042.0798037422.

Adding to 1131626052 its reverse (2506261311), we get a palindrome (3637887363).

The spelling of 1131626052 in words is "one billion, one hundred thirty-one million, six hundred twenty-six thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 108 116 162 174 261 324 348 522 783 841 1044 1566 1682 2349 2523 3132 3364 4153 4698 5046 7569 8306 9396 10092 12459 15138 16612 22707 24918 30276 37377 45414 49836 68121 74754 90828 112131 120437 136242 149508 224262 240874 272484 336393 361311 448524 481748 672786 722622 1083933 1345572 1445244 2167866 3251799 3492673 4335732 6503598 6985346 9755397 10478019 13007196 13970692 19510794 20956038 31434057 39021588 41912076 62868114 94302171 125736228 188604342 282906513 377208684 565813026 1131626052