Search a number
-
+
114663424 = 21313997
BaseRepresentation
bin1101101010110…
…10000000000000
321222202111122111
412311122000000
5213323212144
615213345104
72561423461
oct665320000
9258674574
10114663424
11597a7367
1232498194
131a9a8ba5
141132ad68
15a0ee534
hex6d5a000

114663424 has 28 divisors (see below), whose sum is σ = 229329234. Its totient is φ = 57327616.

The previous prime is 114663403. The next prime is 114663457. The reversal of 114663424 is 424366411.

It can be written as a sum of positive squares in only one way, i.e., 98406400 + 16257024 = 9920^2 + 4032^2 .

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 8.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1194 + ... + 15190.

Almost surely, 2114663424 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 114663424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114664617).

114663424 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

114663424 is an frugal number, since it uses more digits than its factorization.

114663424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14023 (or 13999 counting only the distinct ones).

The product of its digits is 13824, while the sum is 31.

The square root of 114663424 is about 10708.1008586957. The cubic root of 114663424 is about 485.8195291470.

The spelling of 114663424 in words is "one hundred fourteen million, six hundred sixty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 13997 27994 55988 111976 223952 447904 895808 1791616 3583232 7166464 14332928 28665856 57331712 114663424