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1143406506 = 231147834441
BaseRepresentation
bin100010000100110…
…1111111110101010
32221200112001212010
41010021233332222
54320203002011
6305243100350
740222536444
oct10411577652
92850461763
101143406506
11537472260
1227ab116b6
13152b6abc8
14abbdb494
156a5ac1a6
hex4426ffaa

1143406506 has 64 divisors (see below), whose sum is σ = 2579060736. Its totient is φ = 334953600.

The previous prime is 1143406501. The next prime is 1143406531. The reversal of 1143406506 is 6056043411.

It is not an unprimeable number, because it can be changed into a prime (1143406501) 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 31 ways as a sum of consecutive naturals, for example, 255246 + ... + 259686.

It is an arithmetic number, because the mean of its divisors is an integer number (40297824).

Almost surely, 21143406506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1143406506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1289530368).

1143406506 is an abundant number, since it is smaller than the sum of its proper divisors (1435654230).

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

1143406506 is a wasteful number, since it uses less digits than its factorization.

1143406506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4587.

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 1143406506 is about 33814.2944034028. The cubic root of 1143406506 is about 1045.6834142879.

Adding to 1143406506 its reverse (6056043411), we get a palindrome (7199449917).

The spelling of 1143406506 in words is "one billion, one hundred forty-three million, four hundred six thousand, five hundred six".

Divisors: 1 2 3 6 11 22 33 47 66 83 94 141 166 249 282 498 517 913 1034 1551 1826 2739 3102 3901 4441 5478 7802 8882 11703 13323 23406 26646 42911 48851 85822 97702 128733 146553 208727 257466 293106 368603 417454 626181 737206 1105809 1252362 2211618 2295997 4054633 4591994 6887991 8109266 12163899 13775982 17324341 24327798 34648682 51973023 103946046 190567751 381135502 571703253 1143406506