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16770080 = 255281373
BaseRepresentation
bin111111111110…
…010000100000
31011120000020002
4333332100200
513243120310
61355235132
7262354235
oct77762040
934500202
1016770080
119514678
125748aa8
133622232
14232778c
151713da5
hexffe420

16770080 has 48 divisors (see below), whose sum is σ = 39866904. Its totient is φ = 6666240.

The previous prime is 16770077. The next prime is 16770113. The reversal of 16770080 is 8007761.

It can be written as a sum of positive squares in 4 ways, for example, as 14776336 + 1993744 = 3844^2 + 1412^2 .

It is a nialpdrome in base 16.

It is an unprimeable number.

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, 44774 + ... + 45146.

Almost surely, 216770080 is an apocalyptic number.

16770080 is a gapful number since it is divisible by the number (10) 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 16770080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19933452).

16770080 is an abundant number, since it is smaller than the sum of its proper divisors (23096824).

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

16770080 is a wasteful number, since it uses less digits than its factorization.

16770080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 29.

The square root of 16770080 is about 4095.1288136028. The cubic root of 16770080 is about 255.9636992799.

The spelling of 16770080 in words is "sixteen million, seven hundred seventy thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 281 373 562 746 1124 1405 1492 1865 2248 2810 2984 3730 4496 5620 5968 7460 8992 11240 11936 14920 22480 29840 44960 59680 104813 209626 419252 524065 838504 1048130 1677008 2096260 3354016 4192520 8385040 16770080