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67701006 = 23223433803
BaseRepresentation
bin1000000100100…
…00100100001110
311201101120022200
410002100210032
5114312413011
610415022330
71451310012
oct402204416
9151346280
1067701006
113524084a
121a80a9a6
1311045289
148dc4542
155e24856
hex409090e

67701006 has 48 divisors (see below), whose sum is σ = 156663936. Its totient is φ = 21078288.

The previous prime is 67700999. The next prime is 67701017. The reversal of 67701006 is 60010776.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15901 + ... + 19703.

It is an arithmetic number, because the mean of its divisors is an integer number (3263832).

Almost surely, 267701006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67701006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78331968).

67701006 is an abundant number, since it is smaller than the sum of its proper divisors (88962930).

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

67701006 is a wasteful number, since it uses less digits than its factorization.

67701006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3877 (or 3874 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 67701006 is about 8228.0621047729. The cubic root of 67701006 is about 407.5664006617.

It can be divided in two parts, 6770 and 1006, that added together give a 5-th power (7776 = 65).

The spelling of 67701006 in words is "sixty-seven million, seven hundred one thousand, six".

Divisors: 1 2 3 6 9 18 23 43 46 69 86 129 138 207 258 387 414 774 989 1978 2967 3803 5934 7606 8901 11409 17802 22818 34227 68454 87469 163529 174938 262407 327058 490587 524814 787221 981174 1471761 1574442 2943522 3761167 7522334 11283501 22567002 33850503 67701006