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2083939 = 111321959
BaseRepresentation
bin111111100110001100011
310220212121221
413330301203
51013141224
6112355511
723466424
oct7746143
93825557
102083939
1111a3770
12845b97
1357c700
143c364b
152b26e4
hex1fcc63

2083939 has 24 divisors (see below), whose sum is σ = 2635200. Its totient is φ = 1628640.

The previous prime is 2083937. The next prime is 2083957. The reversal of 2083939 is 9393802.

2083939 = T312 + T313 + ... + T349.

It is not a de Polignac number, because 2083939 - 21 = 2083937 is a prime.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

2083939 is a modest number, since divided by 3939 gives 208 as remainder.

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 (2083937) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 35292 + ... + 35350.

It is an arithmetic number, because the mean of its divisors is an integer number (109800).

22083939 is an apocalyptic number.

2083939 is a deficient number, since it is larger than the sum of its proper divisors (551261).

2083939 is a wasteful number, since it uses less digits than its factorization.

2083939 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 34.

The square root of 2083939 is about 1443.5854668152. The cubic root of 2083939 is about 127.7306142819.

The spelling of 2083939 in words is "two million, eighty-three thousand, nine hundred thirty-nine".

Divisors: 1 11 13 19 59 143 169 209 247 649 767 1121 1859 2717 3211 8437 9971 12331 14573 35321 109681 160303 189449 2083939