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10080576 = 2632113743
BaseRepresentation
bin100110011101…
…000101000000
3200222010221200
4212131011000
510040034301
61000021200
7151453302
oct46350500
920863850
1010080576
115765760
123461800
13211c44c
1414a5972
15d41c86
hex99d140

10080576 has 168 divisors, whose sum is σ = 33125664. Its totient is φ = 2903040.

The previous prime is 10080569. The next prime is 10080593. The reversal of 10080576 is 67508001.

10080576 is a `hidden beast` number, since 10 + 0 + 80 + 576 = 666.

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, 234411 + ... + 234453.

Almost surely, 210080576 is an apocalyptic number.

10080576 is a gapful number since it is divisible by the number (16) 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 10080576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16562832).

10080576 is an abundant number, since it is smaller than the sum of its proper divisors (23045088).

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

10080576 is a wasteful number, since it uses less digits than its factorization.

10080576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 10080576 is about 3174.9922834552. The cubic root of 10080576 is about 216.0205741719.

Adding to 10080576 its reverse (67508001), we get a palindrome (77588577).

The spelling of 10080576 in words is "ten million, eighty thousand, five hundred seventy-six".