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1052131140 = 223351012191
BaseRepresentation
bin111110101101100…
…011111101000100
32201022202210121000
4332231203331010
54123321144030
6252222453300
735033652504
oct7655437504
92638683530
101052131140
1149a99a775
12254434230
13139c90608
149da3ba04
156257c860
hex3eb63f44

1052131140 has 144 divisors (see below), whose sum is σ = 3323335680. Its totient is φ = 276336000.

The previous prime is 1052131127. The next prime is 1052131141. The reversal of 1052131140 is 411312501.

1052131140 is a `hidden beast` number, since 1 + 0 + 521 + 3 + 1 + 140 = 666.

It is a super-2 number, since 2×10521311402 = 2213959871515399200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1052131141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5508445 + ... + 5508635.

It is an arithmetic number, because the mean of its divisors is an integer number (23078720).

Almost surely, 21052131140 is an apocalyptic number.

1052131140 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 1052131140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1661667840).

1052131140 is an abundant number, since it is smaller than the sum of its proper divisors (2271204540).

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

1052131140 is a wasteful number, since it uses less digits than its factorization.

1052131140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 1052131140 is about 32436.5710271601. The cubic root of 1052131140 is about 1017.0835374858.

Adding to 1052131140 its reverse (411312501), we get a palindrome (1463443641).

The spelling of 1052131140 in words is "one billion, fifty-two million, one hundred thirty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 101 108 135 180 191 202 270 303 382 404 505 540 573 606 764 909 955 1010 1146 1212 1515 1719 1818 1910 2020 2292 2727 2865 3030 3438 3636 3820 4545 5157 5454 5730 6060 6876 8595 9090 10201 10314 10908 11460 13635 17190 18180 19291 20402 20628 25785 27270 30603 34380 38582 40804 51005 51570 54540 57873 61206 77164 91809 96455 102010 103140 115746 122412 153015 173619 183618 192910 204020 231492 275427 289365 306030 347238 367236 385820 459045 520857 550854 578730 612060 694476 868095 918090 1041714 1101708 1157460 1377135 1736190 1836180 1948391 2083428 2604285 2754270 3472380 3896782 5208570 5508540 5845173 7793564 9741955 10417140 11690346 17535519 19483910 23380692 29225865 35071038 38967820 52606557 58451730 70142076 87677595 105213114 116903460 175355190 210426228 263032785 350710380 526065570 1052131140