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10024120 = 2351311913
BaseRepresentation
bin100110001111…
…010010111000
3200212021111201
4212033102320
510031232440
6554503544
7151126561
oct46172270
920767451
1010024120
1157272a7
123434bb4
1320cc842
14148d168
15d3019a
hex98f4b8

10024120 has 32 divisors (see below), whose sum is σ = 22738320. Its totient is φ = 3976960.

The previous prime is 10024109. The next prime is 10024121. The reversal of 10024120 is 2142001.

10024120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10024097 and 10024106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10024121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4284 + ... + 6196.

Almost surely, 210024120 is an apocalyptic number.

10024120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10024120 is an abundant number, since it is smaller than the sum of its proper divisors (12714200).

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

10024120 is a wasteful number, since it uses less digits than its factorization.

10024120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2055 (or 2051 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 10024120 is about 3166.0890701305. The cubic root of 10024120 is about 215.6165464725.

Adding to 10024120 its reverse (2142001), we get a palindrome (12166121).

The spelling of 10024120 in words is "ten million, twenty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 131 262 524 655 1048 1310 1913 2620 3826 5240 7652 9565 15304 19130 38260 76520 250603 501206 1002412 1253015 2004824 2506030 5012060 10024120