Search a number
-
+
124326240 = 25351791447
BaseRepresentation
bin1110110100100…
…01000101100000
322122221102112120
413122101011200
5223311414430
620200424240
73036520113
oct732210540
9278842476
10124326240
11641a7165
1235778080
131c9b012c
141272457a
15adac610
hex7691160

124326240 has 96 divisors (see below), whose sum is σ = 394087680. Its totient is φ = 32945664.

The previous prime is 124326239. The next prime is 124326263. The reversal of 124326240 is 42623421.

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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 124326240.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85197 + ... + 86643.

It is an arithmetic number, because the mean of its divisors is an integer number (4105080).

Almost surely, 2124326240 is an apocalyptic number.

124326240 is a gapful number since it is divisible by the number (10) 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 124326240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197043840).

124326240 is an abundant number, since it is smaller than the sum of its proper divisors (269761440).

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

124326240 is a wasteful number, since it uses less digits than its factorization.

124326240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1644 (or 1636 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 124326240 is about 11150.1677117432. The cubic root of 124326240 is about 499.1000344292.

Adding to 124326240 its reverse (42623421), we get a palindrome (166949661).

The spelling of 124326240 in words is "one hundred twenty-four million, three hundred twenty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 179 240 358 480 537 716 895 1074 1432 1447 1790 2148 2685 2864 2894 3580 4296 4341 5370 5728 5788 7160 7235 8592 8682 10740 11576 14320 14470 17184 17364 21480 21705 23152 28640 28940 34728 42960 43410 46304 57880 69456 85920 86820 115760 138912 173640 231520 259013 347280 518026 694560 777039 1036052 1295065 1554078 2072104 2590130 3108156 3885195 4144208 5180260 6216312 7770390 8288416 10360520 12432624 15540780 20721040 24865248 31081560 41442080 62163120 124326240