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1245302020 = 2251741157569
BaseRepresentation
bin100101000111001…
…1100110100000100
310012210020220020001
41022032130310010
510022244131040
6323323051044
742600615064
oct11216346404
93183226201
101245302020
11589a38926
122a9070a84
1316acc6401
14bb5633a4
15744d859a
hex4a39cd04

1245302020 has 96 divisors (see below), whose sum is σ = 2859585120. Its totient is φ = 453672960.

The previous prime is 1245302011. The next prime is 1245302039. The reversal of 1245302020 is 202035421.

It can be written as a sum of positive squares in 16 ways, for example, as 749883456 + 495418564 = 27384^2 + 22258^2 .

It is an unprimeable number.

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, 2188296 + ... + 2188864.

It is an arithmetic number, because the mean of its divisors is an integer number (29787345).

Almost surely, 21245302020 is an apocalyptic number.

1245302020 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 1245302020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1429792560).

1245302020 is an abundant number, since it is smaller than the sum of its proper divisors (1614283100).

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

1245302020 is a wasteful number, since it uses less digits than its factorization.

1245302020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 1245302020 is about 35288.8370451620. The cubic root of 1245302020 is about 1075.8661186456.

Adding to 1245302020 its reverse (202035421), we get a palindrome (1447337441).

The spelling of 1245302020 in words is "one billion, two hundred forty-five million, three hundred two thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 41 68 82 85 157 164 170 205 314 340 410 569 628 697 785 820 1138 1394 1570 2276 2669 2788 2845 3140 3485 5338 5690 6437 6970 9673 10676 11380 12874 13345 13940 19346 23329 25748 26690 32185 38692 46658 48365 53380 64370 89333 93316 96730 109429 116645 128740 178666 193460 218858 233290 357332 396593 437716 446665 466580 547145 793186 893330 1094290 1518661 1586372 1786660 1982965 2188580 3037322 3662653 3965930 6074644 7325306 7593305 7931860 14650612 15186610 18313265 30373220 36626530 62265101 73253060 124530202 249060404 311325505 622651010 1245302020