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10024730 = 2517109541
BaseRepresentation
bin100110001111…
…011100011010
3200212022100022
4212033130122
510031242410
6554510442
7151131422
oct46173432
920768308
1010024730
115727801
123435422
1320ccbc1
14148d482
15d30455
hex98f71a

10024730 has 32 divisors (see below), whose sum is σ = 19316880. Its totient is φ = 3732480.

The previous prime is 10024727. The next prime is 10024733. The reversal of 10024730 is 3742001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10024727) and next prime (10024733).

It can be written as a sum of positive squares in 8 ways, for example, as 6265009 + 3759721 = 2503^2 + 1939^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a junction number, because it is equal to n+sod(n) for n = 10024699 and 10024708.

It is not an unprimeable number, because it can be changed into a prime (10024733) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 18260 + ... + 18800.

Almost surely, 210024730 is an apocalyptic number.

10024730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10024730 is a deficient number, since it is larger than the sum of its proper divisors (9292150).

10024730 is a wasteful number, since it uses less digits than its factorization.

10024730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674.

The product of its (nonzero) digits is 168, while the sum is 17.

The square root of 10024730 is about 3166.1854020256. The cubic root of 10024730 is about 215.6209200376.

Adding to 10024730 its reverse (3742001), we get a palindrome (13766731).

The spelling of 10024730 in words is "ten million, twenty-four thousand, seven hundred thirty".

Divisors: 1 2 5 10 17 34 85 109 170 218 541 545 1082 1090 1853 2705 3706 5410 9197 9265 18394 18530 45985 58969 91970 117938 294845 589690 1002473 2004946 5012365 10024730