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248540 = 22517243
BaseRepresentation
bin111100101011011100
3110121221012
4330223130
530423130
65154352
72053415
oct745334
9417835
10248540
1115a806
12bb9b8
1389186
146680c
154d995
hex3cadc

248540 has 36 divisors (see below), whose sum is σ = 567336. Its totient is φ = 91392.

The previous prime is 248537. The next prime is 248543. The reversal of 248540 is 45842.

It is an interprime number because it is at equal distance from previous prime (248537) and next prime (248543).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248543) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 5759 + ... + 5801.

2248540 is an apocalyptic number.

248540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283668).

248540 is an abundant number, since it is smaller than the sum of its proper divisors (318796).

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

248540 is a wasteful number, since it uses less digits than its factorization.

248540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The square root of 248540 is about 498.5378621529. The cubic root of 248540 is about 62.8731806774.

The spelling of 248540 in words is "two hundred forty-eight thousand, five hundred forty".

Divisors: 1 2 4 5 10 17 20 34 43 68 85 86 170 172 215 289 340 430 578 731 860 1156 1445 1462 2890 2924 3655 5780 7310 12427 14620 24854 49708 62135 124270 248540