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124045020 = 22345116961
BaseRepresentation
bin1110110010011…
…00011011011100
322122102010210000
413121030123130
5223223420040
620150414300
73034236201
oct731143334
9278363700
10124045020
1164024950
1235661390
131c912128
141268dca8
15ad54130
hex764c6dc

124045020 has 120 divisors (see below), whose sum is σ = 424570608. Its totient is φ = 30067200.

The previous prime is 124044989. The next prime is 124045021. The reversal of 124045020 is 20540421.

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 = 124044984 and 124045002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (124045021) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14340 + ... + 21300.

Almost surely, 2124045020 is an apocalyptic number.

124045020 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 124045020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212285304).

124045020 is an abundant number, since it is smaller than the sum of its proper divisors (300525588).

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

124045020 is a wasteful number, since it uses less digits than its factorization.

124045020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6993 (or 6982 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 124045020 is about 11137.5499998878. The cubic root of 124045020 is about 498.7234368803.

Adding to 124045020 its reverse (20540421), we get a palindrome (144585441).

It can be divided in two parts, 12404 and 5020, that added together give a square (17424 = 1322).

The spelling of 124045020 in words is "one hundred twenty-four million, forty-five thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 81 90 99 108 110 132 135 162 165 180 198 220 270 297 324 330 396 405 495 540 594 660 810 891 990 1188 1485 1620 1782 1980 2970 3564 4455 5940 6961 8910 13922 17820 20883 27844 34805 41766 62649 69610 76571 83532 104415 125298 139220 153142 187947 208830 229713 250596 306284 313245 375894 382855 417660 459426 563841 626490 689139 751788 765710 918852 939735 1127682 1148565 1252980 1378278 1531420 1879470 2067417 2255364 2297130 2756556 2819205 3445695 3758940 4134834 4594260 5638410 6202251 6891390 8269668 10337085 11276820 12404502 13782780 20674170 24809004 31011255 41348340 62022510 124045020