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114503424 = 283719259
BaseRepresentation
bin1101101001100…
…10111100000000
321222110101011120
412310302330000
5213303102144
615210112240
72560156140
oct664627400
9258411146
10114503424
11596a8132
123241b680
131a951109
14112c8920
15a0bbe19
hex6d32f00

114503424 has 216 divisors, whose sum is σ = 373806720. Its totient is φ = 30468096.

The previous prime is 114503401. The next prime is 114503489. The reversal of 114503424 is 424305411.

It is a super-2 number, since 2×1145034242 = 26222068215447552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 114503394 and 114503403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1940707 + ... + 1940765.

Almost surely, 2114503424 is an apocalyptic number.

114503424 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 114503424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186903360).

114503424 is an abundant number, since it is smaller than the sum of its proper divisors (259303296).

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

114503424 is an equidigital number, since it uses as much as digits as its factorization.

114503424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 114503424 is about 10700.6272713332. The cubic root of 114503424 is about 485.5934549987.

Adding to 114503424 its reverse (424305411), we get a palindrome (538808835).

The spelling of 114503424 in words is "one hundred fourteen million, five hundred three thousand, four hundred twenty-four".