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5238240 = 253571559
BaseRepresentation
bin10011111110110111100000
3100212010111220
4103332313200
52320110430
6304135040
762344560
oct23766740
910763456
105238240
112a58627
121907480
131115367
149a4da0
156d7110
hex4fede0

5238240 has 96 divisors (see below), whose sum is σ = 18869760. Its totient is φ = 1196544.

The previous prime is 5238229. The next prime is 5238251. The reversal of 5238240 is 428325.

It is an interprime number because it is at equal distance from previous prime (5238229) and next prime (5238251).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 5238240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2581 + ... + 4139.

It is an arithmetic number, because the mean of its divisors is an integer number (196560).

Almost surely, 25238240 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 5238240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9434880).

5238240 is an abundant number, since it is smaller than the sum of its proper divisors (13631520).

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

5238240 is a wasteful number, since it uses less digits than its factorization.

5238240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1584 (or 1576 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 5238240 is about 2288.7201663812. The cubic root of 5238240 is about 173.6714635660.

The spelling of 5238240 in words is "five million, two hundred thirty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1559 1680 3118 3360 4677 6236 7795 9354 10913 12472 15590 18708 21826 23385 24944 31180 32739 37416 43652 46770 49888 54565 62360 65478 74832 87304 93540 109130 124720 130956 149664 163695 174608 187080 218260 249440 261912 327390 349216 374160 436520 523824 654780 748320 873040 1047648 1309560 1746080 2619120 5238240