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1115306028 = 2232592292293
BaseRepresentation
bin100001001111010…
…0011100000101100
32212201122102020200
41002132203200230
54241004243103
6302400513500
736431642034
oct10236434054
92781572220
101115306028
11522619a21
1227161b890
1314a0ac6c5
14a81a48c4
1567dab0a3
hex427a382c

1115306028 has 72 divisors (see below), whose sum is σ = 2880805200. Its totient is φ = 363712896.

The previous prime is 1115305991. The next prime is 1115306089. The reversal of 1115306028 is 8206035111.

1115306028 is a `hidden beast` number, since 1 + 1 + 1 + 53 + 0 + 602 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1115305992 and 1115306010.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 485250 + ... + 487542.

Almost surely, 21115306028 is an apocalyptic number.

1115306028 is a gapful number since it is divisible by the number (18) 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 1115306028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1440402600).

1115306028 is an abundant number, since it is smaller than the sum of its proper divisors (1765499172).

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

1115306028 is a wasteful number, since it uses less digits than its factorization.

1115306028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2591 (or 2586 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 1115306028 is about 33396.1978075349. The cubic root of 1115306028 is about 1037.0459899253.

The spelling of 1115306028 in words is "one billion, one hundred fifteen million, three hundred six thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 59 118 177 229 236 354 458 531 687 708 916 1062 1374 2061 2124 2293 2748 4122 4586 6879 8244 9172 13511 13758 20637 27022 27516 40533 41274 54044 81066 82548 121599 135287 162132 243198 270574 405861 486396 525097 541148 811722 1050194 1217583 1575291 1623444 2100388 2435166 3150582 4725873 4870332 6301164 9451746 18903492 30980723 61961446 92942169 123922892 185884338 278826507 371768676 557653014 1115306028