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64460 = 22511293
BaseRepresentation
bin1111101111001100
310021102102
433233030
54030320
61214232
7355634
oct175714
9107372
1064460
1144480
1231378
1323456
14196c4
1514175
hexfbcc

64460 has 24 divisors (see below), whose sum is σ = 148176. Its totient is φ = 23360.

The previous prime is 64453. The next prime is 64483. The reversal of 64460 is 6446.

64460 = T13 + T14 + ... + T72.

64460 is an esthetic number in base 13, because in such base its adjacent digits differ by 1.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a plaindrome in base 13.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 74 + ... + 366.

It is an arithmetic number, because the mean of its divisors is an integer number (6174).

264460 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 64460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74088).

64460 is an abundant number, since it is smaller than the sum of its proper divisors (83716).

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

64460 is a wasteful number, since it uses less digits than its factorization.

64460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 64460 is about 253.8897398478. The cubic root of 64460 is about 40.0956046451.

64460 divided by its sum of digits (20) gives a palindrome (3223).

The spelling of 64460 in words is "sixty-four thousand, four hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 293 586 1172 1465 2930 3223 5860 6446 12892 16115 32230 64460