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1132204440 = 2335233711087
BaseRepresentation
bin100001101111100…
…0001000110011000
32220220102221111210
41003133001012120
54304321020230
6304203023120
740025402403
oct10337010630
92826387453
101132204440
11531110a54
1227720aaa0
13150748173
14aa522d3a
15695e7eb0
hex437c1198

1132204440 has 128 divisors (see below), whose sum is σ = 3640412160. Its totient is φ = 280963584.

The previous prime is 1132204429. The next prime is 1132204441. The reversal of 1132204440 is 444022311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1132204441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96577 + ... + 107663.

It is an arithmetic number, because the mean of its divisors is an integer number (28440720).

Almost surely, 21132204440 is an apocalyptic number.

1132204440 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 1132204440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1820206080).

1132204440 is an abundant number, since it is smaller than the sum of its proper divisors (2508207720).

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

1132204440 is a wasteful number, since it uses less digits than its factorization.

1132204440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11161 (or 11157 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 1132204440 is about 33648.2457195022. The cubic root of 1132204440 is about 1042.2573134401.

Adding to 1132204440 its reverse (444022311), we get a palindrome (1576226751).

The spelling of 1132204440 in words is "one billion, one hundred thirty-two million, two hundred four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 37 40 46 60 69 74 92 111 115 120 138 148 184 185 222 230 276 296 345 370 444 460 552 555 690 740 851 888 920 1110 1380 1480 1702 2220 2553 2760 3404 4255 4440 5106 6808 8510 10212 11087 12765 17020 20424 22174 25530 33261 34040 44348 51060 55435 66522 88696 102120 110870 133044 166305 221740 255001 266088 332610 410219 443480 510002 665220 765003 820438 1020004 1230657 1275005 1330440 1530006 1640876 2040008 2051095 2461314 2550010 3060012 3281752 3825015 4102190 4922628 5100020 6120024 6153285 7650030 8204380 9435037 9845256 10200040 12306570 15300060 16408760 18870074 24613140 28305111 30600120 37740148 47175185 49226280 56610222 75480296 94350370 113220444 141525555 188700740 226440888 283051110 377401480 566102220 1132204440