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10007418 = 235413083
BaseRepresentation
bin100110001011…
…001101111010
3200211102121010
4212023031322
510030214133
6554254350
7151030101
oct46131572
920742533
1010007418
1157157a3
1234273b6
1320c5065
141487038
15d2a263
hex98b37a

10007418 has 16 divisors (see below), whose sum is σ = 20058336. Its totient is φ = 3328560.

The previous prime is 10007401. The next prime is 10007419. The reversal of 10007418 is 81470001.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10007394 and 10007403.

It is not an unprimeable number, because it can be changed into a prime (10007419) 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 7 ways as a sum of consecutive naturals, for example, 1705 + ... + 4787.

It is an arithmetic number, because the mean of its divisors is an integer number (1253646).

Almost surely, 210007418 is an apocalyptic number.

10007418 is an abundant number, since it is smaller than the sum of its proper divisors (10050918).

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

10007418 is a wasteful number, since it uses less digits than its factorization.

10007418 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3629.

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 10007418 is about 3163.4503315209. The cubic root of 10007418 is about 215.4967278247.

Adding to 10007418 its reverse (81470001), we get a palindrome (91477419).

The spelling of 10007418 in words is "ten million, seven thousand, four hundred eighteen".

Divisors: 1 2 3 6 541 1082 1623 3083 3246 6166 9249 18498 1667903 3335806 5003709 10007418