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3115728 = 2432711281
BaseRepresentation
bin1011111000101011010000
312212021222100
423320223100
51244200403
6150440400
735324520
oct13705320
95767870
103115728
111838990
121063100
13851235
145b1680
154182a3
hex2f8ad0

3115728 has 120 divisors (see below), whose sum is σ = 10910016. Its totient is φ = 806400.

The previous prime is 3115727. The next prime is 3115729. The reversal of 3115728 is 8275113.

3115728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3115727) and next prime (3115729).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3115727) 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 23 ways as a sum of consecutive naturals, for example, 10948 + ... + 11228.

Almost surely, 23115728 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 3115728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5455008).

3115728 is an abundant number, since it is smaller than the sum of its proper divisors (7794288).

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

3115728 is a wasteful number, since it uses less digits than its factorization.

3115728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 304 counting only the distinct ones).

The product of its digits is 1680, while the sum is 27.

The square root of 3115728 is about 1765.1424871664. The cubic root of 3115728 is about 146.0561490419.

The spelling of 3115728 in words is "three million, one hundred fifteen thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 33 36 42 44 48 56 63 66 72 77 84 88 99 112 126 132 144 154 168 176 198 231 252 264 281 308 336 396 462 504 528 562 616 693 792 843 924 1008 1124 1232 1386 1584 1686 1848 1967 2248 2529 2772 3091 3372 3696 3934 4496 5058 5544 5901 6182 6744 7868 9273 10116 11088 11802 12364 13488 15736 17703 18546 20232 21637 23604 24728 27819 31472 35406 37092 40464 43274 47208 49456 55638 64911 70812 74184 86548 94416 111276 129822 141624 148368 173096 194733 222552 259644 283248 346192 389466 445104 519288 778932 1038576 1557864 3115728