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3016080 = 243255971
BaseRepresentation
bin1011100000010110010000
312200020021200
423200112100
51233003310
6144351200
734431144
oct13402620
95606250
103016080
111780031
121015500
13817a82
14587224
153e89c0
hex2e0590

3016080 has 120 divisors (see below), whose sum is σ = 10445760. Its totient is φ = 779520.

The previous prime is 3016067. The next prime is 3016093. The reversal of 3016080 is 806103.

It is an interprime number because it is at equal distance from previous prime (3016067) and next prime (3016093).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 23 ways as a sum of consecutive naturals, for example, 42445 + ... + 42515.

It is an arithmetic number, because the mean of its divisors is an integer number (87048).

Almost surely, 23016080 is an apocalyptic number.

3016080 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 3016080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5222880).

3016080 is an abundant number, since it is smaller than the sum of its proper divisors (7429680).

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

3016080 is a wasteful number, since it uses less digits than its factorization.

3016080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 3016080 is about 1736.6865002066. The cubic root of 3016080 is about 144.4821799283.

It can be divided in two parts, 30 and 16080, that added together give a triangular number (16110 = T179).

The spelling of 3016080 in words is "three million, sixteen thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 59 60 71 72 80 90 118 120 142 144 177 180 213 236 240 284 295 354 355 360 426 472 531 568 590 639 708 710 720 852 885 944 1062 1065 1136 1180 1278 1416 1420 1704 1770 2124 2130 2360 2556 2655 2832 2840 3195 3408 3540 4189 4248 4260 4720 5112 5310 5680 6390 7080 8378 8496 8520 10224 10620 12567 12780 14160 16756 17040 20945 21240 25134 25560 33512 37701 41890 42480 50268 51120 62835 67024 75402 83780 100536 125670 150804 167560 188505 201072 251340 301608 335120 377010 502680 603216 754020 1005360 1508040 3016080