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1115166416 = 247133132447
BaseRepresentation
bin100001001111000…
…0001011011010000
32212201101022201212
41002132001123100
54240440311131
6302353515252
736430521020
oct10236013320
92781338655
101115166416
11522534041
12271572b28
1314a060cb0
14a8169a80
1567d7ea2b
hex427816d0

1115166416 has 80 divisors (see below), whose sum is σ = 2668829184. Its totient is φ = 439575552.

The previous prime is 1115166407. The next prime is 1115166419. The reversal of 1115166416 is 6146615111.

It is a super-2 number, since 2×11151664162 = 2487192270748570112, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1115166419) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 454505 + ... + 456951.

Almost surely, 21115166416 is an apocalyptic number.

1115166416 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 1115166416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1334414592).

1115166416 is an abundant number, since it is smaller than the sum of its proper divisors (1553662768).

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

1115166416 is a wasteful number, since it uses less digits than its factorization.

1115166416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2788 (or 2782 counting only the distinct ones).

The product of its digits is 4320, while the sum is 32.

The square root of 1115166416 is about 33394.1075041691. The cubic root of 1115166416 is about 1037.0027162698.

The spelling of 1115166416 in words is "one billion, one hundred fifteen million, one hundred sixty-six thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 182 208 313 364 626 728 1252 1456 2191 2447 2504 4069 4382 4894 5008 8138 8764 9788 16276 17129 17528 19576 28483 31811 32552 34258 35056 39152 56966 63622 65104 68516 113932 127244 137032 222677 227864 254488 274064 445354 455728 508976 765911 890708 1531822 1781416 3063644 3562832 5361377 6127288 9956843 10722754 12254576 19913686 21445508 39827372 42891016 69697901 79654744 85782032 139395802 159309488 278791604 557583208 1115166416