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5375040 = 263511509
BaseRepresentation
bin10100100000010001000000
3101010002011120
4110200101000
52334000130
6311112240
763454446
oct24402100
911102146
105375040
113041390
121972680
1311626c8
149dcb96
15712910
hex520440

5375040 has 112 divisors (see below), whose sum is σ = 18653760. Its totient is φ = 1300480.

The previous prime is 5375039. The next prime is 5375047. The reversal of 5375040 is 405735.

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 5375040.

It is not an unprimeable number, because it can be changed into a prime (5375047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10306 + ... + 10814.

Almost surely, 25375040 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 5375040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9326880).

5375040 is an abundant number, since it is smaller than the sum of its proper divisors (13278720).

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

5375040 is a wasteful number, since it uses less digits than its factorization.

5375040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 24.

The square root of 5375040 is about 2318.4132504797. The cubic root of 5375040 is about 175.1703375483.

The spelling of 5375040 in words is "five million, three hundred seventy-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 132 160 165 176 192 220 240 264 320 330 352 440 480 509 528 660 704 880 960 1018 1056 1320 1527 1760 2036 2112 2545 2640 3054 3520 4072 5090 5280 5599 6108 7635 8144 10180 10560 11198 12216 15270 16288 16797 20360 22396 24432 27995 30540 32576 33594 40720 44792 48864 55990 61080 67188 81440 83985 89584 97728 111980 122160 134376 162880 167970 179168 223960 244320 268752 335940 358336 447920 488640 537504 671880 895840 1075008 1343760 1791680 2687520 5375040