Search a number
-
+
1124422020 = 2233513715199
BaseRepresentation
bin100001100000101…
…0101000110000100
32220100210120001000
41003001111012010
54300323001040
6303324133300
736602300211
oct10301250604
92810716030
101124422020
115277859a7
12274697230
1314bc51a97
14a9498b08
1568aac130
hex43055184

1124422020 has 96 divisors (see below), whose sum is σ = 3523968000. Its totient is φ = 297637632.

The previous prime is 1124422009. The next prime is 1124422021. The reversal of 1124422020 is 202244211.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1124421984 and 1124422002.

It is not an unprimeable number, because it can be changed into a prime (1124422021) 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, 66381 + ... + 81579.

It is an arithmetic number, because the mean of its divisors is an integer number (36708000).

Almost surely, 21124422020 is an apocalyptic number.

1124422020 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 1124422020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1761984000).

1124422020 is an abundant number, since it is smaller than the sum of its proper divisors (2399545980).

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

1124422020 is a wasteful number, since it uses less digits than its factorization.

1124422020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15354 (or 15346 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 1124422020 is about 33532.4025384403. The cubic root of 1124422020 is about 1039.8637703710.

Adding to 1124422020 its reverse (202244211), we get a palindrome (1326666231).

The spelling of 1124422020 in words is "one billion, one hundred twenty-four million, four hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 137 180 270 274 411 540 548 685 822 1233 1370 1644 2055 2466 2740 3699 4110 4932 6165 7398 8220 12330 14796 15199 18495 24660 30398 36990 45597 60796 73980 75995 91194 136791 151990 182388 227985 273582 303980 410373 455970 547164 683955 820746 911940 1367910 1641492 2051865 2082263 2735820 4103730 4164526 6246789 8207460 8329052 10411315 12493578 18740367 20822630 24987156 31233945 37480734 41645260 56221101 62467890 74961468 93701835 112442202 124935780 187403670 224884404 281105505 374807340 562211010 1124422020