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1320063420 = 22351313112919
BaseRepresentation
bin100111010101110…
…1001000110111100
310101222221011120210
41032223221012330
510200414012140
6334553312420
744466232254
oct11653510674
93358834523
101320063420
11618161205
1230a105710
13180641220
14c7464964
157ad54d80
hex4eae91bc

1320063420 has 96 divisors (see below), whose sum is σ = 4011194880. Its totient is φ = 322433280.

The previous prime is 1320063389. The next prime is 1320063461. The reversal of 1320063420 is 243600231.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95721 + ... + 108639.

It is an arithmetic number, because the mean of its divisors is an integer number (41783280).

Almost surely, 21320063420 is an apocalyptic number.

1320063420 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 1320063420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2005597440).

1320063420 is an abundant number, since it is smaller than the sum of its proper divisors (2691131460).

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

1320063420 is a wasteful number, since it uses less digits than its factorization.

1320063420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13075 (or 13073 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 1320063420 is about 36332.6770277116. The cubic root of 1320063420 is about 1096.9788782068.

Adding to 1320063420 its reverse (243600231), we get a palindrome (1563663651).

The spelling of 1320063420 in words is "one billion, three hundred twenty million, sixty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 131 156 195 260 262 390 393 524 655 780 786 1310 1572 1703 1965 2620 3406 3930 5109 6812 7860 8515 10218 12919 17030 20436 25545 25838 34060 38757 51090 51676 64595 77514 102180 129190 155028 167947 193785 258380 335894 387570 503841 671788 775140 839735 1007682 1679470 1692389 2015364 2519205 3358940 3384778 5038410 5077167 6769556 8461945 10076820 10154334 16923890 20308668 22001057 25385835 33847780 44002114 50771670 66003171 88004228 101543340 110005285 132006342 220010570 264012684 330015855 440021140 660031710 1320063420