Search a number
-
+
1370143008 = 2532132931249
BaseRepresentation
bin101000110101010…
…1011100100100000
310112111011110212100
41101222223210200
510301224034013
6343542530400
745645011013
oct12152534440
93474143770
101370143008
116434567a3
12322a36a00
1318ab26910
14cdd7d37a
1580448473
hex51aab920

1370143008 has 144 divisors (see below), whose sum is σ = 4213755000. Its totient is φ = 419807232.

The previous prime is 1370143007. The next prime is 1370143039. The reversal of 1370143008 is 8003410731.

It can be written as a sum of positive squares in 4 ways, for example, as 1201870224 + 168272784 = 34668^2 + 12972^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (1370143007) 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 23 ways as a sum of consecutive naturals, for example, 1096368 + ... + 1097616.

Almost surely, 21370143008 is an apocalyptic number.

1370143008 is a gapful number since it is divisible by the number (18) 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 1370143008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2106877500).

1370143008 is an abundant number, since it is smaller than the sum of its proper divisors (2843611992).

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

1370143008 is a wasteful number, since it uses less digits than its factorization.

1370143008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1571 (or 1560 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1370143008 is about 37015.4428313373. The cubic root of 1370143008 is about 1110.6791850184.

Adding to 1370143008 its reverse (8003410731), we get a palindrome (9373553739).

The spelling of 1370143008 in words is "one billion, three hundred seventy million, one hundred forty-three thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 293 312 416 468 586 624 879 936 1172 1248 1249 1758 1872 2344 2498 2637 3516 3744 3747 3809 4688 4996 5274 7032 7494 7618 9376 9992 10548 11241 11427 14064 14988 15236 16237 19984 21096 22482 22854 28128 29976 30472 32474 34281 39968 42192 44964 45708 48711 59952 60944 64948 68562 84384 89928 91416 97422 119904 121888 129896 137124 146133 179856 182832 194844 259792 274248 292266 359712 365664 365957 389688 519584 548496 584532 731914 779376 1096992 1097871 1169064 1463828 1558752 2195742 2338128 2927656 3293613 4391484 4676256 4757441 5855312 6587226 8782968 9514882 11710624 13174452 14272323 17565936 19029764 26348904 28544646 35131872 38059528 42816969 52697808 57089292 76119056 85633938 105395616 114178584 152238112 171267876 228357168 342535752 456714336 685071504 1370143008