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2016080 = 245112979
BaseRepresentation
bin111101100001101010000
310210102112122
413230031100
51004003310
6111113412
723064533
oct7541520
93712478
102016080
111157790
12812868
13557861
143a6a1a
1529c555
hex1ec350

2016080 has 80 divisors (see below), whose sum is σ = 5356800. Its totient is φ = 698880.

The previous prime is 2016059. The next prime is 2016101. The reversal of 2016080 is 806102.

It is an interprime number because it is at equal distance from previous prime (2016059) and next prime (2016101).

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

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, 25481 + ... + 25559.

It is an arithmetic number, because the mean of its divisors is an integer number (66960).

22016080 is an apocalyptic number.

2016080 is a gapful number since it is divisible by the number (20) 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 2016080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2678400).

2016080 is an abundant number, since it is smaller than the sum of its proper divisors (3340720).

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

2016080 is a wasteful number, since it uses less digits than its factorization.

2016080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 2016080 is about 1419.8873194729. The cubic root of 2016080 is about 126.3288629256.

The spelling of 2016080 in words is "two million, sixteen thousand, eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 29 40 44 55 58 79 80 88 110 116 145 158 176 220 232 290 316 319 395 440 464 580 632 638 790 869 880 1160 1264 1276 1580 1595 1738 2291 2320 2552 3160 3190 3476 4345 4582 5104 6320 6380 6952 8690 9164 11455 12760 13904 17380 18328 22910 25201 25520 34760 36656 45820 50402 69520 91640 100804 126005 183280 201608 252010 403216 504020 1008040 2016080