Search a number
-
+
124128240 = 243523113199
BaseRepresentation
bin1110110011000…
…00101111110000
322122120100221020
413121200233300
5223234100430
620152255440
73035033625
oct731405760
9278510836
10124128240
1164081425
12356a1580
131c940c82
14126b234c
15ad6db10
hex7660bf0

124128240 has 160 divisors (see below), whose sum is σ = 407116800. Its totient is φ = 31223808.

The previous prime is 124128227. The next prime is 124128241. The reversal of 124128240 is 42821421.

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 124128240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (124128241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 623661 + ... + 623859.

It is an arithmetic number, because the mean of its divisors is an integer number (2544480).

Almost surely, 2124128240 is an apocalyptic number.

124128240 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 124128240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203558400).

124128240 is an abundant number, since it is smaller than the sum of its proper divisors (282988560).

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

124128240 is a wasteful number, since it uses less digits than its factorization.

124128240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 124128240 is about 11141.2853836530. The cubic root of 124128240 is about 498.8349407156.

Adding to 124128240 its reverse (42821421), we get a palindrome (166949661).

The spelling of 124128240 in words is "one hundred twenty-four million, one hundred twenty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 113 115 120 138 184 199 226 230 240 276 339 345 368 398 452 460 552 565 597 678 690 796 904 920 995 1104 1130 1194 1356 1380 1592 1695 1808 1840 1990 2260 2388 2599 2712 2760 2985 3184 3390 3980 4520 4577 4776 5198 5424 5520 5970 6780 7797 7960 9040 9154 9552 10396 11940 12995 13560 13731 15594 15920 18308 20792 22487 22885 23880 25990 27120 27462 31188 36616 38985 41584 44974 45770 47760 51980 54924 62376 67461 68655 73232 77970 89948 91540 103960 109848 112435 124752 134922 137310 155940 179896 183080 207920 219696 224870 269844 274620 311880 337305 359792 366160 449740 517201 539688 549240 623760 674610 899480 1034402 1079376 1098480 1349220 1551603 1798960 2068804 2586005 2698440 3103206 4137608 5172010 5396880 6206412 7758015 8275216 10344020 12412824 15516030 20688040 24825648 31032060 41376080 62064120 124128240