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59440 = 245743
BaseRepresentation
bin1110100000110000
310000112111
432200300
53400230
61135104
7335203
oct164060
9100474
1059440
1140727
122a494
1321094
141793a
151292a
hexe830

59440 has 20 divisors (see below), whose sum is σ = 138384. Its totient is φ = 23744.

The previous prime is 59419. The next prime is 59441. The reversal of 59440 is 4495.

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×594402 = 7066227200, which contains 22 as substring.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (59441) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 292 + ... + 451.

259440 is an apocalyptic number.

It is an amenable number.

59440 is an abundant number, since it is smaller than the sum of its proper divisors (78944).

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 (69192).

59440 is a wasteful number, since it uses less digits than its factorization.

59440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 59440 is about 243.8031993227. The cubic root of 59440 is about 39.0264996319.

Subtracting from 59440 its reverse (4495), we obtain a palindrome (54945).

The spelling of 59440 in words is "fifty-nine thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 743 1486 2972 3715 5944 7430 11888 14860 29720 59440