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3025680 = 243571801
BaseRepresentation
bin1011100010101100010000
312200201110020
423202230100
51233310210
6144503440
734501140
oct13425420
95621406
103025680
111787269
12101ab80
1381c258
1458a920
153eb770
hex2e2b10

3025680 has 80 divisors (see below), whose sum is σ = 10725504. Its totient is φ = 691200.

The previous prime is 3025679. The next prime is 3025681. The reversal of 3025680 is 865203.

It is an interprime number because it is at equal distance from previous prime (3025679) and next prime (3025681).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3025680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3025681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 780 + ... + 2580.

Almost surely, 23025680 is an apocalyptic number.

3025680 is a gapful number since it is divisible by the number (30) 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 3025680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5362752).

3025680 is an abundant number, since it is smaller than the sum of its proper divisors (7699824).

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

3025680 is a wasteful number, since it uses less digits than its factorization.

3025680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1824 (or 1818 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 3025680 is about 1739.4481883632. The cubic root of 3025680 is about 144.6353102514.

The spelling of 3025680 in words is "three million, twenty-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 1801 3602 5403 7204 9005 10806 12607 14408 18010 21612 25214 27015 28816 36020 37821 43224 50428 54030 63035 72040 75642 86448 100856 108060 126070 144080 151284 189105 201712 216120 252140 302568 378210 432240 504280 605136 756420 1008560 1512840 3025680