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114413024 = 2511437559
BaseRepresentation
bin1101101000111…
…00110111100000
321222021210011102
412310130313200
5213242204044
615204133532
72556331445
oct664346740
9258253142
10114413024
1159646220
12323972a8
131a91bc1b
14112a39cc
15a0a024e
hex6d1cde0

114413024 has 48 divisors (see below), whose sum is σ = 251475840. Its totient is φ = 50789760.

The previous prime is 114413023. The next prime is 114413027. The reversal of 114413024 is 420314411.

It is a junction number, because it is equal to n+sod(n) for n = 114412987 and 114413005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114413023) 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, 11357 + ... + 18915.

It is an arithmetic number, because the mean of its divisors is an integer number (5239080).

Almost surely, 2114413024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114413024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125737920).

114413024 is an abundant number, since it is smaller than the sum of its proper divisors (137062816).

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

114413024 is a wasteful number, since it uses less digits than its factorization.

114413024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7623 (or 7615 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 114413024 is about 10696.4023858492. The cubic root of 114413024 is about 485.4656299835.

Adding to 114413024 its reverse (420314411), we get a palindrome (534727435).

The spelling of 114413024 in words is "one hundred fourteen million, four hundred thirteen thousand, twenty-four".

Divisors: 1 2 4 8 11 16 22 32 43 44 86 88 172 176 344 352 473 688 946 1376 1892 3784 7559 7568 15118 15136 30236 60472 83149 120944 166298 241888 325037 332596 650074 665192 1300148 1330384 2600296 2660768 3575407 5200592 7150814 10401184 14301628 28603256 57206512 114413024