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1115414104 = 237101199991
BaseRepresentation
bin100001001111011…
…1101111001011000
32212201211220111111
41002132331321120
54241021222404
6302403110104
736432602110
oct10236757130
92781756444
101115414104
11522693142
12271672334
1314a11995c
14a81d2040
1567dcd104
hex427bde58

1115414104 has 64 divisors (see below), whose sum is σ = 2428416000. Its totient is φ = 470448000.

The previous prime is 1115414093. The next prime is 1115414119. The reversal of 1115414104 is 4014145111.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1125049 + ... + 1126039.

It is an arithmetic number, because the mean of its divisors is an integer number (37944000).

Almost surely, 21115414104 is an apocalyptic number.

1115414104 is a gapful number since it is divisible by the number (14) 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 1115414104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1214208000).

1115414104 is an abundant number, since it is smaller than the sum of its proper divisors (1313001896).

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

1115414104 is a wasteful number, since it uses less digits than its factorization.

1115414104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1304 (or 1300 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 22.

The square root of 1115414104 is about 33397.8158567293. The cubic root of 1115414104 is about 1037.0794863109.

Adding to 1115414104 its reverse (4014145111), we get a palindrome (5129559215).

The spelling of 1115414104 in words is "one billion, one hundred fifteen million, four hundred fourteen thousand, one hundred four".

Divisors: 1 2 4 7 8 14 28 56 101 199 202 398 404 707 796 808 991 1393 1414 1592 1982 2786 2828 3964 5572 5656 6937 7928 11144 13874 20099 27748 40198 55496 80396 100091 140693 160792 197209 200182 281386 394418 400364 562772 700637 788836 800728 1125544 1380463 1401274 1577672 2760926 2802548 5521852 5605096 11043704 19918109 39836218 79672436 139426763 159344872 278853526 557707052 1115414104