Search a number
-
+
1667135140 = 2251153142979
BaseRepresentation
bin110001101011110…
…0111011010100100
311022012000020110221
41203113213122210
511403241311030
6433232254124
756212262206
oct14327473244
94265006427
101667135140
11786066340
123a63a1344
132075105c8
1411b5ac776
159b560e7a
hex635e76a4

1667135140 has 48 divisors (see below), whose sum is σ = 3891343680. Its totient is φ = 594788480.

The previous prime is 1667135131. The next prime is 1667135147. The reversal of 1667135140 is 415317661.

It is a junction number, because it is equal to n+sod(n) for n = 1667135096 and 1667135105.

It is not an unprimeable number, because it can be changed into a prime (1667135147) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 59830 + ... + 83149.

It is an arithmetic number, because the mean of its divisors is an integer number (81069660).

Almost surely, 21667135140 is an apocalyptic number.

1667135140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1667135140 is an abundant number, since it is smaller than the sum of its proper divisors (2224208540).

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

1667135140 is a wasteful number, since it uses less digits than its factorization.

1667135140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143052 (or 143050 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The square root of 1667135140 is about 40830.5662463797. The cubic root of 1667135140 is about 1185.7421784009.

The spelling of 1667135140 in words is "one billion, six hundred sixty-seven million, one hundred thirty-five thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 53 55 106 110 212 220 265 530 583 1060 1166 2332 2915 5830 11660 142979 285958 571916 714895 1429790 1572769 2859580 3145538 6291076 7577887 7863845 15155774 15727690 30311548 31455380 37889435 75778870 83356757 151557740 166713514 333427028 416783785 833567570 1667135140