Search a number
-
+
1415160384 = 263113471931
BaseRepresentation
bin101010001011001…
…1010001001000000
310122121212121002120
41110112122021000
510344240113014
6352231444240
750032444011
oct12426321100
93577777076
101415160384
11666903a40
12335b26680
13197259111
14d5d3b008
158438bba9
hex5459a240

1415160384 has 112 divisors (see below), whose sum is σ = 4098560256. Its totient is φ = 427379200.

The previous prime is 1415160319. The next prime is 1415160391. The reversal of 1415160384 is 4830615141.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

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, 731899 + ... + 733829.

It is an arithmetic number, because the mean of its divisors is an integer number (36594288).

Almost surely, 21415160384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1415160384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2049280128).

1415160384 is an abundant number, since it is smaller than the sum of its proper divisors (2683399872).

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

1415160384 is a wasteful number, since it uses less digits than its factorization.

1415160384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2304 (or 2294 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 1415160384 is about 37618.6175184575. The cubic root of 1415160384 is about 1122.7124900349.

The spelling of 1415160384 in words is "one billion, four hundred fifteen million, one hundred sixty thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 347 352 528 694 704 1041 1056 1388 1931 2082 2112 2776 3817 3862 4164 5552 5793 7634 7724 8328 11104 11451 11586 15268 15448 16656 21241 22208 22902 23172 30536 30896 33312 42482 45804 46344 61072 61792 63723 66624 84964 91608 92688 122144 123584 127446 169928 183216 185376 244288 254892 339856 366432 370752 509784 670057 679712 732864 1019568 1340114 1359424 2010171 2039136 2680228 4020342 4078272 5360456 7370627 8040684 10720912 14741254 16081368 21441824 22111881 29482508 32162736 42883648 44223762 58965016 64325472 88447524 117930032 128650944 176895048 235860064 353790096 471720128 707580192 1415160384