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2016880 = 245171483
BaseRepresentation
bin111101100011001110000
310210110122021
413230121300
51004020010
6111121224
723100055
oct7543160
93713567
102016880
111158348
12813214
13558028
143a702c
1529c8da
hex1ec670

2016880 has 40 divisors (see below), whose sum is σ = 4968432. Its totient is φ = 758784.

The previous prime is 2016877. The next prime is 2016881. The reversal of 2016880 is 886102.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2016881) 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 7 ways as a sum of consecutive naturals, for example, 619 + ... + 2101.

22016880 is an apocalyptic number.

2016880 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 2016880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2484216).

2016880 is an abundant number, since it is smaller than the sum of its proper divisors (2951552).

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

2016880 is a wasteful number, since it uses less digits than its factorization.

2016880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1513 (or 1507 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 2016880 is about 1420.1690040273. The cubic root of 2016880 is about 126.3455702199.

It can be divided in two parts, 20 and 16880, that added together give a square (16900 = 1302).

The spelling of 2016880 in words is "two million, sixteen thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 1483 2966 5932 7415 11864 14830 23728 25211 29660 50422 59320 100844 118640 126055 201688 252110 403376 504220 1008440 2016880