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2123616 = 253112011
BaseRepresentation
bin1000000110011101100000
310222220001110
420012131200
51020423431
6113303320
724023205
oct10063540
93886043
102123616
111220560
12864b40
135947a1
143d3cac
152be346
hex206760

2123616 has 48 divisors (see below), whose sum is σ = 6084288. Its totient is φ = 643200.

The previous prime is 2123603. The next prime is 2123617. The reversal of 2123616 is 6163212.

It is a happy number.

2123616 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is an alternating number because its digits alternate between even and odd.

It is a junction number, because it is equal to n+sod(n) for n = 2123592 and 2123601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2123617) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51 + ... + 2061.

It is an arithmetic number, because the mean of its divisors is an integer number (126756).

22123616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2123616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3042144).

2123616 is an abundant number, since it is smaller than the sum of its proper divisors (3960672).

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

2123616 is a wasteful number, since it uses less digits than its factorization.

2123616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2035 (or 2027 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

The square root of 2123616 is about 1457.2631883088. The cubic root of 2123616 is about 128.5361624617.

Adding to 2123616 its reverse (6163212), we get a palindrome (8286828).

It can be divided in two parts, 212 and 3616, that added together give a triangular number (3828 = T87).

The spelling of 2123616 in words is "two million, one hundred twenty-three thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 2011 4022 6033 8044 12066 16088 22121 24132 32176 44242 48264 64352 66363 88484 96528 132726 176968 193056 265452 353936 530904 707872 1061808 2123616