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10008054 = 232731621
BaseRepresentation
bin100110001011…
…010111110110
3200211110110200
4212023113312
510030224204
6554301330
7151032000
oct46132766
920743420
1010008054
115716221
123427846
1320c5434
141487370
15d2a539
hex98b5f6

10008054 has 48 divisors (see below), whose sum is σ = 25303200. Its totient is φ = 2857680.

The previous prime is 10008023. The next prime is 10008067. The reversal of 10008054 is 45080001.

It is a super-2 number, since 2×100080542 = 200322289733832, which contains 22 as substring.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5364 + ... + 6984.

It is an arithmetic number, because the mean of its divisors is an integer number (527150).

Almost surely, 210008054 is an apocalyptic number.

10008054 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10008054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12651600).

10008054 is an abundant number, since it is smaller than the sum of its proper divisors (15295146).

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

10008054 is a wasteful number, since it uses less digits than its factorization.

10008054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1650 (or 1633 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 10008054 is about 3163.5508530763. The cubic root of 10008054 is about 215.5012928722.

Adding to 10008054 its reverse (45080001), we get a palindrome (55088055).

The spelling of 10008054 in words is "ten million, eight thousand, fifty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 343 441 686 882 1029 1621 2058 3087 3242 4863 6174 9726 11347 14589 22694 29178 34041 68082 79429 102123 158858 204246 238287 476574 556003 714861 1112006 1429722 1668009 3336018 5004027 10008054