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667705680 = 243651072
BaseRepresentation
bin100111110011000…
…110000101010000
31201112101222000000
4213303012011100
52331413040210
6150131130000
722355255535
oct4763060520
91645358000
10667705680
113129a2184
12167743900
13a8443025
146496cd8c
153d943ac0
hex27cc6150

667705680 has 210 divisors, whose sum is σ = 2349514986. Its totient is φ = 176390784.

The previous prime is 667705673. The next prime is 667705681. The reversal of 667705680 is 86507766.

It can be written as a sum of positive squares in only one way, i.e., 534164544 + 133541136 = 23112^2 + 11556^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (667705681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 6240187 + ... + 6240293.

Almost surely, 2667705680 is an apocalyptic number.

667705680 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 667705680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1174757493).

667705680 is an abundant number, since it is smaller than the sum of its proper divisors (1681809306).

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

667705680 is an equidigital number, since it uses as much as digits as its factorization.

667705680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 667705680 is about 25840.0015479876. The cubic root of 667705680 is about 874.0340600474.

Multiplying 667705680 by its sum of digits (45), we get a square (30046755600 = 1733402).

667705680 divided by its sum of digits (45) gives a square (14837904 = 38522).

The spelling of 667705680 in words is "six hundred sixty-seven million, seven hundred five thousand, six hundred eighty".