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1131220340 = 225415326029
BaseRepresentation
bin100001101101101…
…0000110101110100
32220211120221120122
41003123100311310
54304043022330
6304125551112
740014133325
oct10333206564
92824527518
101131220340
115305a9648
12276a15498
13150492263
14aa34844c
15694a15e5
hex436d0d74

1131220340 has 48 divisors (see below), whose sum is σ = 2479513680. Its totient is φ = 433105920.

The previous prime is 1131220333. The next prime is 1131220357. The reversal of 1131220340 is 430221311.

It can be written as a sum of positive squares in 8 ways, for example, as 289408144 + 841812196 = 17012^2 + 29014^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30446 + ... + 56474.

It is an arithmetic number, because the mean of its divisors is an integer number (51656535).

Almost surely, 21131220340 is an apocalyptic number.

1131220340 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 1131220340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1239756840).

1131220340 is an abundant number, since it is smaller than the sum of its proper divisors (1348293340).

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

1131220340 is a wasteful number, since it uses less digits than its factorization.

1131220340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26132 (or 26130 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 1131220340 is about 33633.6191927066. The cubic root of 1131220340 is about 1041.9552529343.

Adding to 1131220340 its reverse (430221311), we get a palindrome (1561441651).

The spelling of 1131220340 in words is "one billion, one hundred thirty-one million, two hundred twenty thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 41 53 82 106 164 205 212 265 410 530 820 1060 2173 4346 8692 10865 21730 26029 43460 52058 104116 130145 260290 520580 1067189 1379537 2134378 2759074 4268756 5335945 5518148 6897685 10671890 13795370 21343780 27590740 56561017 113122034 226244068 282805085 565610170 1131220340