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2123400 = 233523539
BaseRepresentation
bin1000000110011010001000
310222212202110
420012122020
51020422100
6113302320
724022446
oct10063210
93885673
102123400
111220384
128649a0
13594666
143d3b96
152be250
hex206688

2123400 has 48 divisors (see below), whose sum is σ = 6584400. Its totient is φ = 566080.

The previous prime is 2123377. The next prime is 2123411. The reversal of 2123400 is 43212.

It is a super-3 number, since 3×21234003 = 28722133322712000000, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1170 + ... + 2369.

It is an arithmetic number, because the mean of its divisors is an integer number (137175).

22123400 is an apocalyptic number.

2123400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2123400 is an abundant number, since it is smaller than the sum of its proper divisors (4461000).

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

2123400 is a wasteful number, since it uses less digits than its factorization.

2123400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3558 (or 3549 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2123400 is about 1457.1890748973. The cubic root of 2123400 is about 128.5318043680.

Adding to 2123400 its reverse (43212), we get a palindrome (2166612).

The spelling of 2123400 in words is "two million, one hundred twenty-three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 3539 7078 10617 14156 17695 21234 28312 35390 42468 53085 70780 84936 88475 106170 141560 176950 212340 265425 353900 424680 530850 707800 1061700 2123400