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2016090 = 234519131
BaseRepresentation
bin111101100001101011010
310210102120000
413230031122
51004003330
6111113430
723064546
oct7541532
93712500
102016090
11115779a
12812876
1355786b
143a6a26
1529c560
hex1ec35a

2016090 has 80 divisors (see below), whose sum is σ = 5749920. Its totient is φ = 505440.

The previous prime is 2016059. The next prime is 2016101. The reversal of 2016090 is 906102.

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

It is a plaindrome in base 11.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15325 + ... + 15455.

It is an arithmetic number, because the mean of its divisors is an integer number (71874).

22016090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2016090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2874960).

2016090 is an abundant number, since it is smaller than the sum of its proper divisors (3733830).

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

2016090 is a wasteful number, since it uses less digits than its factorization.

2016090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 2016090 is about 1419.8908408747. The cubic root of 2016090 is about 126.3290717941.

It can be divided in two parts, 20 and 16090, that added together give a triangular number (16110 = T179).

The spelling of 2016090 in words is "two million, sixteen thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 81 90 95 114 131 135 162 171 190 262 270 285 342 393 405 513 570 655 786 810 855 1026 1179 1310 1539 1710 1965 2358 2489 2565 3078 3537 3930 4978 5130 5895 7074 7467 7695 10611 11790 12445 14934 15390 17685 21222 22401 24890 35370 37335 44802 53055 67203 74670 106110 112005 134406 201609 224010 336015 403218 672030 1008045 2016090