Search a number
-
+
116729424 = 243574289
BaseRepresentation
bin1101111010100…
…10011001010000
322010122110200000
412331102121100
5214340320144
615325530000
72615120010
oct675223120
9263573600
10116729424
115a9885a9
1233113900
131b250386
1411707c40
15a3ab769
hex6f52650

116729424 has 120 divisors (see below), whose sum is σ = 387266880. Its totient is φ = 33343488.

The previous prime is 116729423. The next prime is 116729441. The reversal of 116729424 is 424927611.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116729423) 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 23 ways as a sum of consecutive naturals, for example, 25072 + ... + 29360.

It is an arithmetic number, because the mean of its divisors is an integer number (3227224).

Almost surely, 2116729424 is an apocalyptic number.

116729424 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 116729424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193633440).

116729424 is an abundant number, since it is smaller than the sum of its proper divisors (270537456).

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

116729424 is an equidigital number, since it uses as much as digits as its factorization.

116729424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4319 (or 4301 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 116729424 is about 10804.1392068040. The cubic root of 116729424 is about 488.7200023015.

The spelling of 116729424 in words is "one hundred sixteen million, seven hundred twenty-nine thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 243 252 324 336 378 432 486 504 567 648 756 972 1008 1134 1296 1512 1701 1944 2268 3024 3402 3888 4289 4536 6804 8578 9072 12867 13608 17156 25734 27216 30023 34312 38601 51468 60046 68624 77202 90069 102936 115803 120092 154404 180138 205872 231606 240184 270207 308808 347409 360276 463212 480368 540414 617616 694818 720552 810621 926424 1042227 1080828 1389636 1441104 1621242 1852848 2084454 2161656 2431863 2779272 3242484 4168908 4323312 4863726 5558544 6484968 7295589 8337816 9727452 12969936 14591178 16675632 19454904 29182356 38909808 58364712 116729424