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3086928 = 2432131797
BaseRepresentation
bin1011110001101001010000
312210211110200
423301221100
51242240203
6150055200
735144535
oct13615120
95724420
103086928
111819289
12104a500
138410b0
145a4d8c
1540e9a3
hex2f1a50

3086928 has 120 divisors (see below), whose sum is σ = 9952488. Its totient is φ = 884736.

The previous prime is 3086903. The next prime is 3086933. The reversal of 3086928 is 8296803.

It can be written as a sum of positive squares in 4 ways, for example, as 304704 + 2782224 = 552^2 + 1668^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3086892 and 3086901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31776 + ... + 31872.

Almost surely, 23086928 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 3086928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4976244).

3086928 is an abundant number, since it is smaller than the sum of its proper divisors (6865560).

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

3086928 is a wasteful number, since it uses less digits than its factorization.

3086928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 3086928 is about 1756.9655659688. The cubic root of 3086928 is about 145.6047355864.

The spelling of 3086928 in words is "three million, eighty-six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 17 18 24 26 34 36 39 48 51 52 68 72 78 97 102 104 117 136 144 153 156 194 204 208 221 234 272 291 306 312 388 408 442 468 582 612 624 663 776 816 873 884 936 1164 1224 1261 1326 1552 1649 1746 1768 1872 1989 2328 2448 2522 2652 3298 3492 3536 3783 3978 4656 4947 5044 5304 6596 6984 7566 7956 9894 10088 10608 11349 13192 13968 14841 15132 15912 19788 20176 21437 22698 26384 29682 30264 31824 39576 42874 45396 59364 60528 64311 79152 85748 90792 118728 128622 171496 181584 192933 237456 257244 342992 385866 514488 771732 1028976 1543464 3086928