Search a number
-
+
8630013360 = 2435227158407
BaseRepresentation
bin10000000100110001…
…11000110110110000
3211021102220002202110
420002120320312300
5120133240411420
63544203045320
7423600621543
oct100230706660
924242802673
108630013360
113729465851
12180a210840
13a76c19aa7
145bc22485a
15357995ee0
hex202638db0

8630013360 has 80 divisors (see below), whose sum is σ = 26871065856. Its totient is φ = 2291184384.

The previous prime is 8630013277. The next prime is 8630013361. The reversal of 8630013360 is 633100368.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (8630013361) 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, 24724 + ... + 133683.

Almost surely, 28630013360 is an apocalyptic number.

8630013360 is a gapful number since it is divisible by the number (80) 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 8630013360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13435532928).

8630013360 is an abundant number, since it is smaller than the sum of its proper divisors (18241052496).

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

8630013360 is a wasteful number, since it uses less digits than its factorization.

8630013360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158650 (or 158644 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 8630013360 is about 92897.8652069034. The cubic root of 8630013360 is about 2051.1802333301.

The spelling of 8630013360 in words is "eight billion, six hundred thirty million, thirteen thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 227 240 454 681 908 1135 1362 1816 2270 2724 3405 3632 4540 5448 6810 9080 10896 13620 18160 27240 54480 158407 316814 475221 633628 792035 950442 1267256 1584070 1900884 2376105 2534512 3168140 3801768 4752210 6336280 7603536 9504420 12672560 19008840 35958389 38017680 71916778 107875167 143833556 179791945 215750334 287667112 359583890 431500668 539375835 575334224 719167780 863001336 1078751670 1438335560 1726002672 2157503340 2876671120 4315006680 8630013360