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81616160 = 255510101
BaseRepresentation
bin1001101110101…
…01110100100000
312200120112022202
410313111310200
5131343204120
612033152332
72010503663
oct467256440
9180515282
1081616160
114208547a
12233bb6a8
1313ba7bb2
14aba76da
157272875
hex4dd5d20

81616160 has 24 divisors (see below), whose sum is σ = 192818556. Its totient is φ = 32646400.

The previous prime is 81616159. The next prime is 81616163. The reversal of 81616160 is 6161618.

It can be written as a sum of positive squares in 2 ways, for example, as 73753744 + 7862416 = 8588^2 + 2804^2 .

It is a super-2 number, since 2×816161602 = 13322395146291200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (81616163) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 254891 + ... + 255210.

Almost surely, 281616160 is an apocalyptic number.

81616160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

81616160 is an abundant number, since it is smaller than the sum of its proper divisors (111202396).

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

81616160 is a wasteful number, since it uses less digits than its factorization.

81616160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510116 (or 510108 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 29.

The square root of 81616160 is about 9034.1662592627. The cubic root of 81616160 is about 433.7692077080.

Adding to 81616160 its reverse (6161618), we get a palindrome (87777778).

The spelling of 81616160 in words is "eighty-one million, six hundred sixteen thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 510101 1020202 2040404 2550505 4080808 5101010 8161616 10202020 16323232 20404040 40808080 81616160