Search a number
-
+
114113104 = 2471676101
BaseRepresentation
bin1101100110100…
…11101001010000
321221201112202021
412303103221100
5213203104404
615153501224
72553642160
oct663235120
9257645667
10114113104
1159460956
1232271814
131a845561
14112265a0
15a041454
hex6cd3a50

114113104 has 40 divisors (see below), whose sum is σ = 254233728. Its totient is φ = 48604800.

The previous prime is 114113101. The next prime is 114113113. The reversal of 114113104 is 401311411.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114113101) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 15654 + ... + 21754.

Almost surely, 2114113104 is an apocalyptic number.

114113104 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 114113104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127116864).

114113104 is an abundant number, since it is smaller than the sum of its proper divisors (140120624).

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

114113104 is a wasteful number, since it uses less digits than its factorization.

114113104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6283 (or 6277 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 114113104 is about 10682.3735190266. The cubic root of 114113104 is about 485.0410621698.

Adding to 114113104 its reverse (401311411), we get a palindrome (515424515).

The spelling of 114113104 in words is "one hundred fourteen million, one hundred thirteen thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 56 112 167 334 668 1169 1336 2338 2672 4676 6101 9352 12202 18704 24404 42707 48808 85414 97616 170828 341656 683312 1018867 2037734 4075468 7132069 8150936 14264138 16301872 28528276 57056552 114113104