Search a number
-
+
1143117520 = 245192273313
BaseRepresentation
bin100010000100010…
…1001011011010000
32221122222101102221
41010020221123100
54320114230040
6305232550424
740220224066
oct10410513320
92848871387
101143117520
11537295126
1227a9b2414
13152a994cc
14abb64036
156a55174a
hex442296d0

1143117520 has 80 divisors (see below), whose sum is σ = 2810802240. Its totient is φ = 431142912.

The previous prime is 1143117517. The next prime is 1143117523. The reversal of 1143117520 is 257113411.

It is an interprime number because it is at equal distance from previous prime (1143117517) and next prime (1143117523).

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 (1143117523) 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, 343384 + ... + 346696.

It is an arithmetic number, because the mean of its divisors is an integer number (35135028).

Almost surely, 21143117520 is an apocalyptic number.

1143117520 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 1143117520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1405401120).

1143117520 is an abundant number, since it is smaller than the sum of its proper divisors (1667684720).

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

1143117520 is a wasteful number, since it uses less digits than its factorization.

1143117520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3572 (or 3566 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 25.

The square root of 1143117520 is about 33810.0209996977. The cubic root of 1143117520 is about 1045.5953110841.

The spelling of 1143117520 in words is "one billion, one hundred forty-three million, one hundred seventeen thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 227 304 380 454 760 908 1135 1520 1816 2270 3313 3632 4313 4540 6626 8626 9080 13252 16565 17252 18160 21565 26504 33130 34504 43130 53008 62947 66260 69008 86260 125894 132520 172520 251788 265040 314735 345040 503576 629470 752051 1007152 1258940 1504102 2517880 3008204 3760255 5035760 6016408 7520510 12032816 14288969 15041020 28577938 30082040 57155876 60164080 71444845 114311752 142889690 228623504 285779380 571558760 1143117520