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5128320 = 27352671
BaseRepresentation
bin10011100100000010000000
3100122112201210
4103210002000
52303101240
6301530120
761406241
oct23440200
910575653
105128320
112992a8a
121873940
1310a7312
14976cc8
156b4780
hex4e4080

5128320 has 64 divisors (see below), whose sum is σ = 16352640. Its totient is φ = 1367040.

The previous prime is 5128307. The next prime is 5128327. The reversal of 5128320 is 238215.

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

It is not an unprimeable number, because it can be changed into a prime (5128327) 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, 585 + ... + 3255.

It is an arithmetic number, because the mean of its divisors is an integer number (255510).

Almost surely, 25128320 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 5128320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8176320).

5128320 is an abundant number, since it is smaller than the sum of its proper divisors (11224320).

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

5128320 is a wasteful number, since it uses less digits than its factorization.

5128320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2693 (or 2681 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 5128320 is about 2264.5794311527. The cubic root of 5128320 is about 172.4480835154.

The spelling of 5128320 in words is "five million, one hundred twenty-eight thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 2671 5342 8013 10684 13355 16026 21368 26710 32052 40065 42736 53420 64104 80130 85472 106840 128208 160260 170944 213680 256416 320520 341888 427360 512832 641040 854720 1025664 1282080 1709440 2564160 5128320