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64146 = 2310691
BaseRepresentation
bin1111101010010010
310020222210
433222102
54023041
61212550
7355005
oct175222
9106883
1064146
1144215
1231156
1323274
141953c
1514016
hexfa92

64146 has 8 divisors (see below), whose sum is σ = 128304. Its totient is φ = 21380.

The previous prime is 64123. The next prime is 64151.

64146 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

64146 is an admirable number.

It is a super-2 number, since 2×641462 = 8229418632, which contains 22 as substring.

It is a nialpdrome in base 16.

It is an unprimeable number.

64146 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5340 + ... + 5351.

It is an arithmetic number, because the mean of its divisors is an integer number (16038).

264146 is an apocalyptic number.

64146 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64152).

64146 is a wasteful number, since it uses less digits than its factorization.

64146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10696.

The product of its digits is 576, while the sum is 21.

The square root of 64146 is about 253.2706062693. The cubic root of 64146 is about 40.0303935666.

It can be divided in two parts, 64 and 146, that added together give a triangular number (210 = T20).

The spelling of 64146 in words is "sixty-four thousand, one hundred forty-six".

Divisors: 1 2 3 6 10691 21382 32073 64146