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68676160 = 2657233143
BaseRepresentation
bin1000001011111…
…10101001000000
311210020002222111
410011332221000
5120040114120
610451545104
71462511020
oct405765100
9153202874
1068676160
1135847463
121abbb194
13112c70a7
149199a80
15606875a
hex417ea40

68676160 has 224 divisors, whose sum is σ = 205996032. Its totient is φ = 21288960.

The previous prime is 68676143. The next prime is 68676161. The reversal of 68676160 is 6167686.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68676161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1597099 + ... + 1597141.

Almost surely, 268676160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68676160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102998016).

68676160 is an abundant number, since it is smaller than the sum of its proper divisors (137319872).

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

68676160 is a wasteful number, since it uses less digits than its factorization.

68676160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The square root of 68676160 is about 8287.1080601136. The cubic root of 68676160 is about 409.5139192886.

The spelling of 68676160 in words is "sixty-eight million, six hundred seventy-six thousand, one hundred sixty".