Search a number
-
+
5128704 = 2933753
BaseRepresentation
bin10011100100001000000000
3100122120021000
4103210020000
52303104304
6301532000
761410330
oct23441000
910576230
105128704
1129932a9
121874000
1310a7549
149770c0
156b4939
hex4e4200

5128704 has 160 divisors (see below), whose sum is σ = 17677440. Its totient is φ = 1437696.

The previous prime is 5128691. The next prime is 5128723. The reversal of 5128704 is 4078215.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 96742 + ... + 96794.

It is an arithmetic number, because the mean of its divisors is an integer number (110484).

Almost surely, 25128704 is an apocalyptic number.

5128704 is a gapful number since it is divisible by the number (54) 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 5128704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8838720).

5128704 is an abundant number, since it is smaller than the sum of its proper divisors (12548736).

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

5128704 is an equidigital number, since it uses as much as digits as its factorization.

5128704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 5128704 is about 2264.6642135204. The cubic root of 5128704 is about 172.4523876157.

It can be divided in two parts, 5128 and 704, that added together give a cube (5832 = 183).

The spelling of 5128704 in words is "five million, one hundred twenty-eight thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 53 54 56 63 64 72 84 96 106 108 112 126 128 144 159 168 189 192 212 216 224 252 256 288 318 336 371 378 384 424 432 448 477 504 512 576 636 672 742 756 768 848 864 896 954 1008 1113 1152 1272 1344 1431 1484 1512 1536 1696 1728 1792 1908 2016 2226 2304 2544 2688 2862 2968 3024 3339 3392 3456 3584 3816 4032 4452 4608 5088 5376 5724 5936 6048 6678 6784 6912 7632 8064 8904 10017 10176 10752 11448 11872 12096 13356 13568 13824 15264 16128 17808 20034 20352 22896 23744 24192 26712 27136 30528 32256 35616 40068 40704 45792 47488 48384 53424 61056 71232 80136 81408 91584 94976 96768 106848 122112 142464 160272 183168 189952 213696 244224 284928 320544 366336 427392 569856 641088 732672 854784 1282176 1709568 2564352 5128704