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3013680 = 243529433
BaseRepresentation
bin1011011111110000110000
312200002222210
423133300300
51232414210
6144332120
734421145
oct13376060
95602883
103013680
11177924a
121014040
13816957
145863cc
153e7e20
hex2dfc30

3013680 has 80 divisors (see below), whose sum is σ = 9686880. Its totient is φ = 774144.

The previous prime is 3013669. The next prime is 3013691. The reversal of 3013680 is 863103.

It is an interprime number because it is at equal distance from previous prime (3013669) and next prime (3013691).

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

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6744 + ... + 7176.

It is an arithmetic number, because the mean of its divisors is an integer number (121086).

Almost surely, 23013680 is an apocalyptic number.

3013680 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 3013680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4843440).

3013680 is an abundant number, since it is smaller than the sum of its proper divisors (6673200).

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

3013680 is a wasteful number, since it uses less digits than its factorization.

3013680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 3013680 is about 1735.9953916990. The cubic root of 3013680 is about 144.4438465897.

Adding to 3013680 its reverse (863103), we get a palindrome (3876783).

The spelling of 3013680 in words is "three million, thirteen thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 48 58 60 80 87 116 120 145 174 232 240 290 348 433 435 464 580 696 866 870 1160 1299 1392 1732 1740 2165 2320 2598 3464 3480 4330 5196 6495 6928 6960 8660 10392 12557 12990 17320 20784 25114 25980 34640 37671 50228 51960 62785 75342 100456 103920 125570 150684 188355 200912 251140 301368 376710 502280 602736 753420 1004560 1506840 3013680