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67672971 = 321773283
BaseRepresentation
bin1000000100010…
…01101110001011
311201100010212100
410002021232023
5114311013341
610414244443
71451132202
oct402115613
9151303770
1067672971
1135221783
121a7b6723
13110355a2
148db8239
155e1b3b6
hex4089b8b

67672971 has 36 divisors (see below), whose sum is σ = 106201368. Its totient is φ = 41375232.

The previous prime is 67672967. The next prime is 67672987. The reversal of 67672971 is 17927676.

It is not a de Polignac number, because 67672971 - 22 = 67672967 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (222264) is a multiple of the sum of its prime factors (252).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67672961) 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 35 ways as a sum of consecutive naturals, for example, 815296 + ... + 815378.

It is an arithmetic number, because the mean of its divisors is an integer number (2950038).

Almost surely, 267672971 is an apocalyptic number.

67672971 is a deficient number, since it is larger than the sum of its proper divisors (38528397).

67672971 is a wasteful number, since it uses less digits than its factorization.

67672971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 176 counting only the distinct ones).

The product of its digits is 222264, while the sum is 45.

The square root of 67672971 is about 8226.3583072949. The cubic root of 67672971 is about 407.5101351187.

The spelling of 67672971 in words is "sixty-seven million, six hundred seventy-two thousand, nine hundred seventy-one".

Divisors: 1 3 9 17 51 73 83 153 219 249 657 747 1241 1411 3723 4233 5329 6059 11169 12699 15987 18177 47961 54531 90593 103003 271779 309009 442307 815337 927027 1326921 3980763 7519219 22557657 67672971