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5128128 = 263229307
BaseRepresentation
bin10011100011111111000000
3100122112110200
4103203333000
52303100003
6301525200
761405545
oct23437700
910575420
105128128
112992925
121873800
1310a71c5
14976bcc
156b46a3
hex4e3fc0

5128128 has 84 divisors (see below), whose sum is σ = 15255240. Its totient is φ = 1645056.

The previous prime is 5128063. The next prime is 5128153. The reversal of 5128128 is 8218215.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16551 + ... + 16857.

It is an arithmetic number, because the mean of its divisors is an integer number (181610).

Almost surely, 25128128 is an apocalyptic number.

5128128 is a gapful number since it is divisible by the number (58) 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 5128128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7627620).

5128128 is an abundant number, since it is smaller than the sum of its proper divisors (10127112).

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

5128128 is a wasteful number, since it uses less digits than its factorization.

5128128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 341 counting only the distinct ones).

The product of its digits is 1280, while the sum is 27.

The square root of 5128128 is about 2264.5370387786. The cubic root of 5128128 is about 172.4459313846.

The spelling of 5128128 in words is "five million, one hundred twenty-eight thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 144 174 192 232 261 288 307 348 464 522 576 614 696 921 928 1044 1228 1392 1842 1856 2088 2456 2763 2784 3684 4176 4912 5526 5568 7368 8352 8903 9824 11052 14736 16704 17806 19648 22104 26709 29472 35612 44208 53418 58944 71224 80127 88416 106836 142448 160254 176832 213672 284896 320508 427344 569792 641016 854688 1282032 1709376 2564064 5128128