Search a number
-
+
1215542016 = 28321340583
BaseRepresentation
bin100100001110011…
…1011001100000000
310010201020221011200
41020130323030000
54442134321031
6320341141200
742056636163
oct11034731400
93121227150
101215542016
11574161787
1229b0ba800
13164aa6740
14b7617ada
1571aaa8e6
hex4873b300

1215542016 has 108 divisors (see below), whose sum is σ = 3774393168. Its totient is φ = 374003712.

The previous prime is 1215541979. The next prime is 1215542021. The reversal of 1215542016 is 6102455121.

It is a super-2 number, since 2×12155420162 = 2955084785322688512, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9661 + ... + 50243.

Almost surely, 21215542016 is an apocalyptic number.

1215542016 is a gapful number since it is divisible by the number (16) 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 1215542016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1887196584).

1215542016 is an abundant number, since it is smaller than the sum of its proper divisors (2558851152).

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

1215542016 is a wasteful number, since it uses less digits than its factorization.

1215542016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40618 (or 40601 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 1215542016 is about 34864.6241339269. The cubic root of 1215542016 is about 1067.2266420855.

Adding to 1215542016 its reverse (6102455121), we get a palindrome (7317997137).

The spelling of 1215542016 in words is "one billion, two hundred fifteen million, five hundred forty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 576 624 768 832 936 1152 1248 1664 1872 2304 2496 3328 3744 4992 7488 9984 14976 29952 40583 81166 121749 162332 243498 324664 365247 486996 527579 649328 730494 973992 1055158 1298656 1460988 1582737 1947984 2110316 2597312 2921976 3165474 3895968 4220632 4748211 5194624 5843952 6330948 7791936 8441264 9496422 10389248 11687904 12661896 15583872 16882528 18992844 23375808 25323792 31167744 33765056 37985688 46751616 50647584 67530112 75971376 93503232 101295168 135060224 151942752 202590336 303885504 405180672 607771008 1215542016