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1320289960 = 2351129103471
BaseRepresentation
bin100111010110010…
…0000011010101000
310102000100200100011
41032230200122220
510200443234320
6335002221304
744501164603
oct11654403250
93360320304
101320289960
116182a6430
1230a1b4834
131806c0382
14c74c333a
157ad9c05a
hex4eb206a8

1320289960 has 64 divisors (see below), whose sum is σ = 3352492800. Its totient is φ = 463545600.

The previous prime is 1320289939. The next prime is 1320289967. The reversal of 1320289960 is 699820231.

It is a happy number.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (1320289967) 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, 38976 + ... + 64495.

It is an arithmetic number, because the mean of its divisors is an integer number (52382700).

Almost surely, 21320289960 is an apocalyptic number.

1320289960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1320289960 is an abundant number, since it is smaller than the sum of its proper divisors (2032202840).

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

1320289960 is a wasteful number, since it uses less digits than its factorization.

1320289960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103522 (or 103518 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

The square root of 1320289960 is about 36335.7944732188. The cubic root of 1320289960 is about 1097.0416265507.

The spelling of 1320289960 in words is "one billion, three hundred twenty million, two hundred eighty-nine thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 29 40 44 55 58 88 110 116 145 220 232 290 319 440 580 638 1160 1276 1595 2552 3190 6380 12760 103471 206942 413884 517355 827768 1034710 1138181 2069420 2276362 3000659 4138840 4552724 5690905 6001318 9105448 11381810 12002636 15003295 22763620 24005272 30006590 33007249 45527240 60013180 66014498 120026360 132028996 165036245 264057992 330072490 660144980 1320289960