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2093080 = 235116771
BaseRepresentation
bin111111111000000011000
310221100011111
413333000120
51013434310
6112510104
723535163
oct7770030
93840144
102093080
1111aa620
1284b334
13583912
143c6ada
152b528a
hex1ff018

2093080 has 64 divisors (see below), whose sum is σ = 5287680. Its totient is φ = 739200.

The previous prime is 2093071. The next prime is 2093081. The reversal of 2093080 is 803902.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2093081) 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 15 ways as a sum of consecutive naturals, for example, 29445 + ... + 29515.

It is an arithmetic number, because the mean of its divisors is an integer number (82620).

22093080 is an apocalyptic number.

2093080 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 2093080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2643840).

2093080 is an abundant number, since it is smaller than the sum of its proper divisors (3194600).

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

2093080 is a wasteful number, since it uses less digits than its factorization.

2093080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 2093080 is about 1446.7480775864. The cubic root of 2093080 is about 127.9171012704.

Adding to 2093080 its reverse (803902), we get a palindrome (2896982).

The spelling of 2093080 in words is "two million, ninety-three thousand, eighty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 67 71 88 110 134 142 220 268 284 335 355 440 536 568 670 710 737 781 1340 1420 1474 1562 2680 2840 2948 3124 3685 3905 4757 5896 6248 7370 7810 9514 14740 15620 19028 23785 29480 31240 38056 47570 52327 95140 104654 190280 209308 261635 418616 523270 1046540 2093080