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2123000 = 235311193
BaseRepresentation
bin1000000110010011111000
310222212012122
420012103320
51020414000
6113300412
724021335
oct10062370
93885178
102123000
111220050
12864708
13594419
143d398c
152be085
hex2064f8

2123000 has 64 divisors (see below), whose sum is σ = 5447520. Its totient is φ = 768000.

The previous prime is 2122979. The next prime is 2123027. The reversal of 2123000 is 3212.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10904 + ... + 11096.

22123000 is an apocalyptic number.

2123000 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 2123000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2723760).

2123000 is an abundant number, since it is smaller than the sum of its proper divisors (3324520).

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

2123000 is a wasteful number, since it uses less digits than its factorization.

2123000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 2123000 is about 1457.0518178843. The cubic root of 2123000 is about 128.5237330437.

Adding to 2123000 its reverse (3212), we get a palindrome (2126212).

The spelling of 2123000 in words is "two million, one hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 193 200 220 250 275 386 440 500 550 772 965 1000 1100 1375 1544 1930 2123 2200 2750 3860 4246 4825 5500 7720 8492 9650 10615 11000 16984 19300 21230 24125 38600 42460 48250 53075 84920 96500 106150 193000 212300 265375 424600 530750 1061500 2123000