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124424040 = 233513471697
BaseRepresentation
bin1110110101010…
…00111101101000
322200010101200210
413122220331220
5223323032130
620202501120
73040405206
oct732507550
9280111623
10124424040
1164263694
12358047a0
131ca157c0
141274c076
15adcb5b0
hex76a8f68

124424040 has 128 divisors (see below), whose sum is σ = 410780160. Its totient is φ = 29958144.

The previous prime is 124424033. The next prime is 124424051. The reversal of 124424040 is 40424421.

It is a junction number, because it is equal to n+sod(n) for n = 124423998 and 124424016.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72472 + ... + 74168.

It is an arithmetic number, because the mean of its divisors is an integer number (3209220).

Almost surely, 2124424040 is an apocalyptic number.

124424040 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 124424040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205390080).

124424040 is an abundant number, since it is smaller than the sum of its proper divisors (286356120).

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

124424040 is a wasteful number, since it uses less digits than its factorization.

124424040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1771 (or 1767 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 124424040 is about 11154.5524338720. The cubic root of 124424040 is about 499.2308708206.

Adding to 124424040 its reverse (40424421), we get a palindrome (164848461).

The spelling of 124424040 in words is "one hundred twenty-four million, four hundred twenty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 47 52 60 65 78 94 104 120 130 141 156 188 195 235 260 282 312 376 390 470 520 564 611 705 780 940 1128 1222 1410 1560 1697 1833 1880 2444 2820 3055 3394 3666 4888 5091 5640 6110 6788 7332 8485 9165 10182 12220 13576 14664 16970 18330 20364 22061 24440 25455 33940 36660 40728 44122 50910 66183 67880 73320 79759 88244 101820 110305 132366 159518 176488 203640 220610 239277 264732 319036 330915 398795 441220 478554 529464 638072 661830 797590 882440 957108 1036867 1196385 1323660 1595180 1914216 2073734 2392770 2647320 3110601 3190360 4147468 4785540 5184335 6221202 8294936 9571080 10368670 12442404 15553005 20737340 24884808 31106010 41474680 62212020 124424040