Search a number
-
+
124204320 = 2533528751
BaseRepresentation
bin1110110011100…
…11010100100000
322122201020022000
413121303110200
5223244014240
620154044000
73035501502
oct731632440
9278636260
10124204320
11641235a9
1235719600
131c9697a6
14126d1d72
15ad86430
hex7673520

124204320 has 96 divisors (see below), whose sum is σ = 434730240. Its totient is φ = 33120000.

The previous prime is 124204319. The next prime is 124204331. The reversal of 124204320 is 23402421.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 124204293 and 124204302.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 10056 + ... + 18695.

It is an arithmetic number, because the mean of its divisors is an integer number (4528440).

Almost surely, 2124204320 is an apocalyptic number.

124204320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

124204320 is an abundant number, since it is smaller than the sum of its proper divisors (310525920).

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

124204320 is a wasteful number, since it uses less digits than its factorization.

124204320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28775 (or 28761 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 124204320 is about 11144.6991884034. The cubic root of 124204320 is about 498.9368342930.

Adding to 124204320 its reverse (23402421), we get a palindrome (147606741).

The spelling of 124204320 in words is "one hundred twenty-four million, two hundred four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 28751 57502 86253 115004 143755 172506 230008 258759 287510 345012 431265 460016 517518 575020 690024 776277 862530 920032 1035036 1150040 1293795 1380048 1552554 1725060 2070072 2300080 2587590 2760096 3105108 3450120 3881385 4140144 4600160 5175180 6210216 6900240 7762770 8280288 10350360 12420432 13800480 15525540 20700720 24840864 31051080 41401440 62102160 124204320