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10424538 = 234229281
BaseRepresentation
bin100111110001…
…000011011010
3201121121210000
4213301003122
510132041123
61011233430
7154415145
oct47610332
921547700
1010424538
115980123
1235a8876
13220cb87
14155505c
15dadb43
hex9f10da

10424538 has 40 divisors (see below), whose sum is σ = 23544180. Its totient is φ = 3447360.

The previous prime is 10424507. The next prime is 10424539. The reversal of 10424538 is 83542401.

10424538 is a `hidden beast` number, since 104 + 24 + 538 = 666.

10424538 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 9199089 + 1225449 = 3033^2 + 1107^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10424539) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 36958 + ... + 37238.

Almost surely, 210424538 is an apocalyptic number.

10424538 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10424538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11772090).

10424538 is an abundant number, since it is smaller than the sum of its proper divisors (13119642).

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

10424538 is a wasteful number, since it uses less digits than its factorization.

10424538 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 10424538 is about 3228.7053132796. The cubic root of 10424538 is about 218.4501122781.

Adding to 10424538 its reverse (83542401), we get a palindrome (93966939).

It can be divided in two parts, 104 and 24538, that added together give a palindrome (24642).

The spelling of 10424538 in words is "ten million, four hundred twenty-four thousand, five hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 54 81 162 229 281 458 562 687 843 1374 1686 2061 2529 4122 5058 6183 7587 12366 15174 18549 22761 37098 45522 64349 128698 193047 386094 579141 1158282 1737423 3474846 5212269 10424538