Search a number
-
+
114415104 = 29374489
BaseRepresentation
bin1101101000111…
…01011000000000
321222021220000110
412310131120000
5213242240404
615204151320
72556340506
oct664353000
9258256013
10114415104
1159647841
1232398540
131a91cb5b
14112a4676
15a0a0b89
hex6d1d600

114415104 has 40 divisors (see below), whose sum is σ = 304813080. Its totient is φ = 38137856.

The previous prime is 114415097. The next prime is 114415109. The reversal of 114415104 is 401514411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114415109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 35709 + ... + 38780.

It is an arithmetic number, because the mean of its divisors is an integer number (7620327).

Almost surely, 2114415104 is an apocalyptic number.

It is an amenable number.

114415104 is an abundant number, since it is smaller than the sum of its proper divisors (190397976).

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

114415104 is an frugal number, since it uses more digits than its factorization.

114415104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74510 (or 74494 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 114415104 is about 10696.4996143598. The cubic root of 114415104 is about 485.4685718467.

Adding to 114415104 its reverse (401514411), we get a palindrome (515929515).

It can be divided in two parts, 114 and 415104, that multiplied together give a triangular number (47321856 = T9728).

The spelling of 114415104 in words is "one hundred fourteen million, four hundred fifteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1536 74489 148978 223467 297956 446934 595912 893868 1191824 1787736 2383648 3575472 4767296 7150944 9534592 14301888 19069184 28603776 38138368 57207552 114415104