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1132020340 = 2251123591303
BaseRepresentation
bin100001101111001…
…0100001001110100
32220220002120222021
41003132110021310
54304244122330
6304155042524
740024004563
oct10336241164
92826076867
101132020340
11530aa5700
12277140444
131506b2429
14aa4b5bda
15695ad67a
hex43794274

1132020340 has 72 divisors (see below), whose sum is σ = 2622291840. Its totient is φ = 410182080.

The previous prime is 1132020301. The next prime is 1132020341. The reversal of 1132020340 is 430202311.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1132020341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 868129 + ... + 869431.

It is an arithmetic number, because the mean of its divisors is an integer number (36420720).

Almost surely, 21132020340 is an apocalyptic number.

1132020340 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 1132020340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1311145920).

1132020340 is an abundant number, since it is smaller than the sum of its proper divisors (1490271500).

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

1132020340 is a wasteful number, since it uses less digits than its factorization.

1132020340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1693 (or 1680 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1132020340 is about 33645.5099530383. The cubic root of 1132020340 is about 1042.2008189397.

Adding to 1132020340 its reverse (430202311), we get a palindrome (1562222651).

The spelling of 1132020340 in words is "one billion, one hundred thirty-two million, twenty thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 359 484 605 718 1210 1303 1436 1795 2420 2606 3590 3949 5212 6515 7180 7898 13030 14333 15796 19745 26060 28666 39490 43439 57332 71665 78980 86878 143330 157663 173756 217195 286660 315326 434390 467777 630652 788315 868780 935554 1576630 1871108 2338885 3153260 4677770 5145547 9355540 10291094 20582188 25727735 51455470 56601017 102910940 113202034 226404068 283005085 566010170 1132020340