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67716144 = 2432470251
BaseRepresentation
bin1000000100101…
…00010000110000
311201102100002100
410002110100300
5114313404034
610415220400
71451402106
oct402242060
9151370070
1067716144
1135251161
121a817700
131104c132
148dc9c76
155e29099
hex4094430

67716144 has 30 divisors (see below), whose sum is σ = 189511556. Its totient is φ = 22572000.

The previous prime is 67716137. The next prime is 67716149. The reversal of 67716144 is 44161776.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 67716099 and 67716108.

It is not an unprimeable number, because it can be changed into a prime (67716149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 234982 + ... + 235269.

Almost surely, 267716144 is an apocalyptic number.

It is an amenable number.

67716144 is an abundant number, since it is smaller than the sum of its proper divisors (121795412).

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

67716144 is a wasteful number, since it uses less digits than its factorization.

67716144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470265 (or 470256 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 67716144 is about 8228.9819540451. The cubic root of 67716144 is about 407.5967757907.

The spelling of 67716144 in words is "sixty-seven million, seven hundred sixteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 470251 940502 1410753 1881004 2821506 3762008 4232259 5643012 7524016 8464518 11286024 16929036 22572048 33858072 67716144