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5393040 = 243523977
BaseRepresentation
bin10100100100101010010000
3101010222212020
4110210222100
52340034130
6311331440
763561102
oct24445220
911128766
105393040
113053964
121980b80
13116a963
14a05572
15717e10
hex524a90

5393040 has 80 divisors (see below), whose sum is σ = 17463168. Its totient is φ = 1374208.

The previous prime is 5393033. The next prime is 5393041. The reversal of 5393040 is 403935.

It is a tau number, because it is divible by the number of its divisors (80).

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 5393040.

It is not an unprimeable number, because it can be changed into a prime (5393041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5032 + ... + 6008.

Almost surely, 25393040 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 5393040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8731584).

5393040 is an abundant number, since it is smaller than the sum of its proper divisors (12070128).

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

5393040 is a wasteful number, since it uses less digits than its factorization.

5393040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1016 (or 1010 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 24.

The square root of 5393040 is about 2322.2919713077. The cubic root of 5393040 is about 175.3656572069.

Adding to 5393040 its reverse (403935), we get a palindrome (5796975).

The spelling of 5393040 in words is "five million, three hundred ninety-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 368 460 552 690 920 977 1104 1380 1840 1954 2760 2931 3908 4885 5520 5862 7816 9770 11724 14655 15632 19540 22471 23448 29310 39080 44942 46896 58620 67413 78160 89884 112355 117240 134826 179768 224710 234480 269652 337065 359536 449420 539304 674130 898840 1078608 1348260 1797680 2696520 5393040