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64120 = 2357229
BaseRepresentation
bin1111101001111000
310020221211
433221320
54022440
61212504
7354640
oct175170
9106854
1064120
11441a1
1231134
1323254
1419520
1513eea
hexfa78

64120 has 32 divisors (see below), whose sum is σ = 165600. Its totient is φ = 21888.

The previous prime is 64109. The next prime is 64123. The reversal of 64120 is 2146.

It is a super-2 number, since 2×641202 = 8222748800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 64120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 166 + ... + 394.

It is an arithmetic number, because the mean of its divisors is an integer number (5175).

264120 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 64120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82800).

64120 is an abundant number, since it is smaller than the sum of its proper divisors (101480).

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

64120 is a wasteful number, since it uses less digits than its factorization.

64120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 64120 is about 253.2192725683. The cubic root of 64120 is about 40.0249843913.

Adding to 64120 its reverse (2146), we get a palindrome (66266).

The spelling of 64120 in words is "sixty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 229 280 458 916 1145 1603 1832 2290 3206 4580 6412 8015 9160 12824 16030 32060 64120