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10068048 = 2432139503
BaseRepresentation
bin100110011010…
…000001010000
3200221111202200
4212122001100
510034134143
6555443200
7151401624
oct46320120
920844680
1010068048
115757301
123456500
132116833
1414a1184
15d3d1d3
hex99a050

10068048 has 60 divisors (see below), whose sum is σ = 28435680. Its totient is φ = 3325248.

The previous prime is 10067999. The next prime is 10068059. The reversal of 10068048 is 84086001.

It is a nialpdrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19765 + ... + 20267.

It is an arithmetic number, because the mean of its divisors is an integer number (473928).

Almost surely, 210068048 is an apocalyptic number.

10068048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10068048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14217840).

10068048 is an abundant number, since it is smaller than the sum of its proper divisors (18367632).

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

10068048 is a wasteful number, since it uses less digits than its factorization.

10068048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 10068048 is about 3173.0187519143. The cubic root of 10068048 is about 215.9310479501.

The spelling of 10068048 in words is "ten million, sixty-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 139 144 278 417 503 556 834 1006 1112 1251 1509 1668 2012 2224 2502 3018 3336 4024 4527 5004 6036 6672 8048 9054 10008 12072 18108 20016 24144 36216 69917 72432 139834 209751 279668 419502 559336 629253 839004 1118672 1258506 1678008 2517012 3356016 5034024 10068048