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6481128 = 2331961233
BaseRepresentation
bin11000101110010011101000
3110012021102210
4120232103220
53124344003
6350525120
7106042263
oct30562350
913167383
106481128
113727405
1222067a0
13145bcb4
14c09cda
15880503
hex62e4e8

6481128 has 64 divisors (see below), whose sum is σ = 17409600. Its totient is φ = 2004480.

The previous prime is 6481127. The next prime is 6481141. The reversal of 6481128 is 8211846.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 6481095 and 6481104.

It is not an unprimeable number, because it can be changed into a prime (6481121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27700 + ... + 27932.

It is an arithmetic number, because the mean of its divisors is an integer number (272025).

Almost surely, 26481128 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 6481128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8704800).

6481128 is an abundant number, since it is smaller than the sum of its proper divisors (10928472).

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

6481128 is a wasteful number, since it uses less digits than its factorization.

6481128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 318 counting only the distinct ones).

The product of its digits is 3072, while the sum is 30.

The square root of 6481128 is about 2545.8059627552. The cubic root of 6481128 is about 186.4447675020. Note that the first 3 decimals are identical.

The spelling of 6481128 in words is "six million, four hundred eighty-one thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 61 76 114 122 152 183 228 233 244 366 456 466 488 699 732 932 1159 1398 1464 1864 2318 2796 3477 4427 4636 5592 6954 8854 9272 13281 13908 14213 17708 26562 27816 28426 35416 42639 53124 56852 85278 106248 113704 170556 270047 341112 540094 810141 1080188 1620282 2160376 3240564 6481128