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3098080 = 25517267
BaseRepresentation
bin1011110100010111100000
312211101202201
423310113200
51243114310
6150222544
735222206
oct13642740
95741681
103098080
1118266a7
121054a54
138461ab
145a9076
15412e3a
hex2f45e0

3098080 has 72 divisors (see below), whose sum is σ = 7891128. Its totient is φ = 1148928.

The previous prime is 3098071. The next prime is 3098089. The reversal of 3098080 is 808903.

3098080 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 (3098071) and next prime (3098089).

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3098089) 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 11 ways as a sum of consecutive naturals, for example, 46207 + ... + 46273.

It is an arithmetic number, because the mean of its divisors is an integer number (109599).

Almost surely, 23098080 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 3098080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3945564).

3098080 is an abundant number, since it is smaller than the sum of its proper divisors (4793048).

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

3098080 is a wasteful number, since it uses less digits than its factorization.

3098080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 3098080 is about 1760.1363583541. The cubic root of 3098080 is about 145.7798646616.

The spelling of 3098080 in words is "three million, ninety-eight thousand, eighty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 67 68 80 85 134 136 160 170 268 272 289 335 340 536 544 578 670 680 1072 1139 1156 1340 1360 1445 2144 2278 2312 2680 2720 2890 4556 4624 5360 5695 5780 9112 9248 10720 11390 11560 18224 19363 22780 23120 36448 38726 45560 46240 77452 91120 96815 154904 182240 193630 309808 387260 619616 774520 1549040 3098080