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1302422020 = 225173979649
BaseRepresentation
bin100110110100001…
…0110001000000100
310100202201220010121
41031220112020010
510131410001040
6333123231324
744163255514
oct11550261004
93322656117
101302422020
11609201a39
12304218544
13179aa5523
14c4d91844
157951cc4a
hex4da16204

1302422020 has 48 divisors (see below), whose sum is σ = 2903569200. Its totient is φ = 489037824.

The previous prime is 1302421979. The next prime is 1302422027. The reversal of 1302422020 is 202242031.

It can be written as a sum of positive squares in 8 ways, for example, as 5125696 + 1297296324 = 2264^2 + 36018^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1302421985 and 1302422003.

It is not an unprimeable number, because it can be changed into a prime (1302422027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130156 + ... + 139804.

It is an arithmetic number, because the mean of its divisors is an integer number (60491025).

Almost surely, 21302422020 is an apocalyptic number.

1302422020 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 1302422020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1451784600).

1302422020 is an abundant number, since it is smaller than the sum of its proper divisors (1601147180).

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

1302422020 is a wasteful number, since it uses less digits than its factorization.

1302422020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10072 (or 10070 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 1302422020 is about 36089.0844993330. The cubic root of 1302422020 is about 1092.0702511304.

Adding to 1302422020 its reverse (202242031), we get a palindrome (1504664051).

The spelling of 1302422020 in words is "one billion, three hundred two million, four hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 397 794 1588 1985 3970 6749 7940 9649 13498 19298 26996 33745 38596 48245 67490 96490 134980 164033 192980 328066 656132 820165 1640330 3280660 3830653 7661306 15322612 19153265 38306530 65121101 76613060 130242202 260484404 325605505 651211010 1302422020