Search a number
-
+
114148336 = 2417478929
BaseRepresentation
bin1101100110111…
…00001111110000
321221210100002011
412303130033300
5213210221321
615154332304
72554146661
oct663341760
9257710064
10114148336
1159485375
123228a094
131a8585c3
1411235368
15a04bae1
hex6cdc3f0

114148336 has 40 divisors (see below), whose sum is σ = 239181120. Its totient is φ = 52568064.

The previous prime is 114148327. The next prime is 114148337. The reversal of 114148336 is 633841411.

It is a super-2 number, since 2×1141483362 = 26059685223137792, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 114148298 and 114148307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114148337) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8320 + ... + 17248.

It is an arithmetic number, because the mean of its divisors is an integer number (5979528).

Almost surely, 2114148336 is an apocalyptic number.

114148336 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 114148336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119590560).

114148336 is an abundant number, since it is smaller than the sum of its proper divisors (125032784).

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

114148336 is a wasteful number, since it uses less digits than its factorization.

114148336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9001 (or 8995 counting only the distinct ones).

The product of its digits is 6912, while the sum is 31.

The square root of 114148336 is about 10684.0224634732. The cubic root of 114148336 is about 485.0909752463.

Adding to 114148336 its reverse (633841411), we get a palindrome (747989747).

The spelling of 114148336 in words is "one hundred fourteen million, one hundred forty-eight thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 17 34 47 68 94 136 188 272 376 752 799 1598 3196 6392 8929 12784 17858 35716 71432 142864 151793 303586 419663 607172 839326 1214344 1678652 2428688 3357304 6714608 7134271 14268542 28537084 57074168 114148336