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1135897812 = 223272738821
BaseRepresentation
bin100001110110100…
…0110110011010100
32221011101120212100
41003231012303110
54311242212222
6304414122100
740101654300
oct10355066324
92834346770
101135897812
11533203925
122784b0330
1315143c2aa
14aac04d00
1569ac74ac
hex43b46cd4

1135897812 has 108 divisors (see below), whose sum is σ = 3386218836. Its totient is φ = 320060160.

The previous prime is 1135897811. The next prime is 1135897837. The reversal of 1135897812 is 2187985311.

It can be written as a sum of positive squares in 2 ways, for example, as 682463376 + 453434436 = 26124^2 + 21294^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1135897811) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 124362 + ... + 133182.

Almost surely, 21135897812 is an apocalyptic number.

1135897812 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 1135897812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1693109418).

1135897812 is an abundant number, since it is smaller than the sum of its proper divisors (2250321024).

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

1135897812 is a wasteful number, since it uses less digits than its factorization.

1135897812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8918 (or 8906 counting only the distinct ones).

The product of its digits is 120960, while the sum is 45.

The square root of 1135897812 is about 33703.0831230616. The cubic root of 1135897812 is about 1043.3894016171.

The spelling of 1135897812 in words is "one billion, one hundred thirty-five million, eight hundred ninety-seven thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 73 84 98 126 146 147 196 219 252 292 294 438 441 511 588 657 876 882 1022 1314 1533 1764 2044 2628 3066 3577 4599 6132 7154 8821 9198 10731 14308 17642 18396 21462 26463 32193 35284 42924 52926 61747 64386 79389 105852 123494 128772 158778 185241 246988 317556 370482 432229 555723 643933 740964 864458 1111446 1287866 1296687 1728916 1931799 2222892 2575732 2593374 3863598 3890061 4507531 5186748 5795397 7727196 7780122 9015062 11590794 13522593 15560244 18030124 23181588 27045186 31552717 40567779 54090372 63105434 81135558 94658151 126210868 162271116 189316302 283974453 378632604 567948906 1135897812