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424120500 = 2232533072
BaseRepresentation
bin11001010001111…
…001000010110100
31002120001112221200
4121101321002310
51332033324000
6110030212500
713336651626
oct3121710264
91076045850
10424120500
111a8450011
12ba054130
1369b3839b
1440482c16
152737a500
hex194790b4

424120500 has 108 divisors (see below), whose sum is σ = 1342331172. Its totient is φ = 112730400.

The previous prime is 424120429. The next prime is 424120531. The reversal of 424120500 is 5021424.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

424120500 is a `hidden beast` number, since 42 + 4 + 120 + 500 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13571856 + 410548644 = 3684^2 + 20262^2 .

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

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 1381347 + ... + 1381653.

Almost surely, 2424120500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424120500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671165586).

424120500 is an abundant number, since it is smaller than the sum of its proper divisors (918210672).

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

424120500 is a wasteful number, since it uses less digits than its factorization.

424120500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 317 counting only the distinct ones).

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

The square root of 424120500 is about 20594.1860727731. The cubic root of 424120500 is about 751.3283127249.

Multiplying 424120500 by its product of nonzero digits (320), we get a square (135718560000 = 3684002).

Adding to 424120500 its reverse (5021424), we get a palindrome (429141924).

The spelling of 424120500 in words is "four hundred twenty-four million, one hundred twenty thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 125 150 180 225 250 300 307 375 450 500 614 750 900 921 1125 1228 1500 1535 1842 2250 2763 3070 3684 4500 4605 5526 6140 7675 9210 11052 13815 15350 18420 23025 27630 30700 38375 46050 55260 69075 76750 92100 94249 115125 138150 153500 188498 230250 276300 282747 345375 376996 460500 471245 565494 690750 848241 942490 1130988 1381500 1413735 1696482 1884980 2356225 2827470 3392964 4241205 4712450 5654940 7068675 8482410 9424900 11781125 14137350 16964820 21206025 23562250 28274700 35343375 42412050 47124500 70686750 84824100 106030125 141373500 212060250 424120500