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164080256 = 273493673
BaseRepresentation
bin10011100011110…
…10101010000000
3102102202010210112
421301322222000
5314001032011
624140450452
74031442044
oct1161725200
9372663715
10164080256
1184689a1a
1246b49a28
1327cbba12
1417b12024
15e61158b
hex9c7aa80

164080256 has 32 divisors (see below), whose sum is σ = 327904500. Its totient is φ = 81782784.

The previous prime is 164080249. The next prime is 164080261. The reversal of 164080256 is 652080461.

164080256 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 160782400 + 3297856 = 12680^2 + 1816^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 42836 + ... + 46508.

Almost surely, 2164080256 is an apocalyptic number.

164080256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

164080256 is a deficient number, since it is larger than the sum of its proper divisors (163824244).

164080256 is an equidigital number, since it uses as much as digits as its factorization.

164080256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4036 (or 4024 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 164080256 is about 12809.3815619647. The cubic root of 164080256 is about 547.4596410413.

The spelling of 164080256 in words is "one hundred sixty-four million, eighty thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 128 349 698 1396 2792 3673 5584 7346 11168 14692 22336 29384 44672 58768 117536 235072 470144 1281877 2563754 5127508 10255016 20510032 41020064 82040128 164080256