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2090016 = 25334159
BaseRepresentation
bin111111110010000100000
310221011222000
413332100200
51013340031
6112444000
723523225
oct7762040
93834860
102090016
1111a8295
12849600
135823c6
143c594c
152b43e6
hex1fe420

2090016 has 96 divisors (see below), whose sum is σ = 6350400. Its totient is φ = 668160.

The previous prime is 2090009. The next prime is 2090017. The reversal of 2090016 is 6100902.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (2090017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35395 + ... + 35453.

It is an arithmetic number, because the mean of its divisors is an integer number (66150).

22090016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2090016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3175200).

2090016 is an abundant number, since it is smaller than the sum of its proper divisors (4260384).

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

2090016 is a wasteful number, since it uses less digits than its factorization.

2090016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 105 counting only the distinct ones).

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

The square root of 2090016 is about 1445.6887631852. The cubic root of 2090016 is about 127.8546527253.

Adding to 2090016 its reverse (6100902), we get a palindrome (8190918).

The spelling of 2090016 in words is "two million, ninety thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 41 48 54 59 72 82 96 108 118 123 144 164 177 216 236 246 288 328 354 369 432 472 492 531 656 708 738 864 944 984 1062 1107 1312 1416 1476 1593 1888 1968 2124 2214 2419 2832 2952 3186 3936 4248 4428 4838 5664 5904 6372 7257 8496 8856 9676 11808 12744 14514 16992 17712 19352 21771 25488 29028 35424 38704 43542 50976 58056 65313 77408 87084 116112 130626 174168 232224 261252 348336 522504 696672 1045008 2090016