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58240 = 275713
BaseRepresentation
bin1110001110000000
32221220001
432032000
53330430
61125344
7331540
oct161600
987801
1058240
113a836
1229854
1320680
1417320
15123ca
hexe380

58240 has 64 divisors (see below), whose sum is σ = 171360. Its totient is φ = 18432.

The previous prime is 58237. The next prime is 58243. The reversal of 58240 is 4285.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (58237) and next prime (58243).

It is a tau number, because it is divible by the number of its divisors (64).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58243) 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, 4474 + ... + 4486.

258240 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 58240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85680).

58240 is an abundant number, since it is smaller than the sum of its proper divisors (113120).

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

58240 is a wasteful number, since it uses less digits than its factorization.

58240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 58240 is about 241.3296500640. The cubic root of 58240 is about 38.7620843337.

The spelling of 58240 in words is "fifty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 64 65 70 80 91 104 112 128 130 140 160 182 208 224 260 280 320 364 416 448 455 520 560 640 728 832 896 910 1040 1120 1456 1664 1820 2080 2240 2912 3640 4160 4480 5824 7280 8320 11648 14560 29120 58240