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67283712 = 2832192953
BaseRepresentation
bin1000000001010…
…10101100000000
311200121100220100
410000222230000
5114211034322
610402042400
71444621266
oct400525400
9150540810
1067283712
1134a86281
121a649400
1310c2a362
148d16436
155d90dac
hex402ab00

67283712 has 216 divisors, whose sum is σ = 215233200. Its totient is φ = 20127744.

The previous prime is 67283707. The next prime is 67283719. The reversal of 67283712 is 21738276.

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

It is not an unprimeable number, because it can be changed into a prime (67283719) 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 23 ways as a sum of consecutive naturals, for example, 1269478 + ... + 1269530.

It is an arithmetic number, because the mean of its divisors is an integer number (996450).

Almost surely, 267283712 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 67283712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107616600).

67283712 is an abundant number, since it is smaller than the sum of its proper divisors (147949488).

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

67283712 is a wasteful number, since it uses less digits than its factorization.

67283712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 106 counting only the distinct ones).

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

The square root of 67283712 is about 8202.6649328130. The cubic root of 67283712 is about 406.7272912694.

It can be divided in two parts, 6728 and 3712, that added together give a triangular number (10440 = T144).

The spelling of 67283712 in words is "sixty-seven million, two hundred eighty-three thousand, seven hundred twelve".