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2090648 = 237371009
BaseRepresentation
bin111111110011010011000
310221012211102
413332122120
51013400043
6112450532
723525120
oct7763230
93835742
102090648
1111a880a
12849a48
13582791
143c5c80
152b46b8
hex1fe698

2090648 has 32 divisors (see below), whose sum is σ = 4605600. Its totient is φ = 870912.

The previous prime is 2090633. The next prime is 2090651. The reversal of 2090648 is 8460902.

It is a super-3 number, since 3×20906483 = 27413469658410533376, which contains 333 as substring.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2090648.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1568 + ... + 2576.

It is an arithmetic number, because the mean of its divisors is an integer number (143925).

22090648 is an apocalyptic number.

2090648 is a gapful number since it is divisible by the number (28) 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 2090648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2302800).

2090648 is an abundant number, since it is smaller than the sum of its proper divisors (2514952).

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

2090648 is a wasteful number, since it uses less digits than its factorization.

2090648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1059 (or 1055 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 2090648 is about 1445.9073275975. The cubic root of 2090648 is about 127.8675387505.

The spelling of 2090648 in words is "two million, ninety thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 14 28 37 56 74 148 259 296 518 1009 1036 2018 2072 4036 7063 8072 14126 28252 37333 56504 74666 149332 261331 298664 522662 1045324 2090648