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1040012220 = 22351311291181
BaseRepresentation
bin111101111111010…
…101001110111100
32200110222002120010
4331333111032330
54112220342340
6251111023220
734525646412
oct7577251674
92613862503
101040012220
11494072635
1225036ab10
13137609460
149c1a52b2
1561486b80
hex3dfd53bc

1040012220 has 96 divisors (see below), whose sum is σ = 3141472320. Its totient is φ = 255559680.

The previous prime is 1040012219. The next prime is 1040012221. The reversal of 1040012220 is 222100401.

It is an interprime number because it is at equal distance from previous prime (1040012219) and next prime (1040012221).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1040012196 and 1040012205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1040012221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 880030 + ... + 881210.

It is an arithmetic number, because the mean of its divisors is an integer number (32723670).

Almost surely, 21040012220 is an apocalyptic number.

1040012220 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 1040012220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1570736160).

1040012220 is an abundant number, since it is smaller than the sum of its proper divisors (2101460100).

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

1040012220 is a wasteful number, since it uses less digits than its factorization.

1040012220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2335 (or 2333 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 1040012220 is about 32249.2204556947. The cubic root of 1040012220 is about 1013.1633720123.

Adding to 1040012220 its reverse (222100401), we get a palindrome (1262112621).

The spelling of 1040012220 in words is "one billion, forty million, twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 1129 1181 2258 2362 3387 3543 4516 4724 5645 5905 6774 7086 11290 11810 13548 14172 14677 15353 16935 17715 22580 23620 29354 30706 33870 35430 44031 46059 58708 61412 67740 70860 73385 76765 88062 92118 146770 153530 176124 184236 220155 230295 293540 307060 440310 460590 880620 921180 1333349 2666698 4000047 5333396 6666745 8000094 13333490 16000188 17333537 20000235 26666980 34667074 40000470 52000611 69334148 80000940 86667685 104001222 173335370 208002444 260003055 346670740 520006110 1040012220