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2124120 = 233531571
BaseRepresentation
bin1000000110100101011000
310222220202010
420012211120
51020432440
6113305520
724024525
oct10064530
93886663
102124120
111220979
128652a0
13594a9b
143d414c
152be580
hex206958

2124120 has 64 divisors (see below), whose sum is σ = 6589440. Its totient is φ = 547200.

The previous prime is 2124049. The next prime is 2124127. The reversal of 2124120 is 214212.

It is a super-3 number, since 3×21241203 = 28751360433355584000, which contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2124096 and 2124105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2124127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3435 + ... + 4005.

It is an arithmetic number, because the mean of its divisors is an integer number (102960).

22124120 is an apocalyptic number.

2124120 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 2124120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3294720).

2124120 is an abundant number, since it is smaller than the sum of its proper divisors (4465320).

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

2124120 is a wasteful number, since it uses less digits than its factorization.

2124120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2124120 is about 1457.4361049459. The cubic root of 2124120 is about 128.5463301979.

Adding to 2124120 its reverse (214212), we get a palindrome (2338332).

The spelling of 2124120 in words is "two million, one hundred twenty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 571 620 744 930 1142 1240 1713 1860 2284 2855 3426 3720 4568 5710 6852 8565 11420 13704 17130 17701 22840 34260 35402 53103 68520 70804 88505 106206 141608 177010 212412 265515 354020 424824 531030 708040 1062060 2124120