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1320164560 = 2451113115399
BaseRepresentation
bin100111010110000…
…0001110011010000
310102000010022022201
41032230001303100
510200430231220
6334555412544
744500133161
oct11654016320
93360108281
101320164560
116182201a0
1230a154154
13180678280
14c748d768
157ad74d0a
hex4eb01cd0

1320164560 has 80 divisors (see below), whose sum is σ = 3606019200. Its totient is φ = 443128320.

The previous prime is 1320164537. The next prime is 1320164561. The reversal of 1320164560 is 654610231.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1320164561) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 46260 + ... + 69139.

It is an arithmetic number, because the mean of its divisors is an integer number (45075240).

Almost surely, 21320164560 is an apocalyptic number.

1320164560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1320164560 is an abundant number, since it is smaller than the sum of its proper divisors (2285854640).

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

1320164560 is a wasteful number, since it uses less digits than its factorization.

1320164560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115436 (or 115430 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 1320164560 is about 36334.0688610566. The cubic root of 1320164560 is about 1097.0068934290.

Adding to 1320164560 its reverse (654610231), we get a palindrome (1974774791).

The spelling of 1320164560 in words is "one billion, three hundred twenty million, one hundred sixty-four thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 40 44 52 55 65 80 88 104 110 130 143 176 208 220 260 286 440 520 572 715 880 1040 1144 1430 2288 2860 5720 11440 115399 230798 461596 576995 923192 1153990 1269389 1500187 1846384 2307980 2538778 3000374 4615960 5077556 6000748 6346945 7500935 9231920 10155112 12001496 12693890 15001870 16502057 20310224 24002992 25387780 30003740 33004114 50775560 60007480 66008228 82510285 101551120 120014960 132016456 165020570 264032912 330041140 660082280 1320164560