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2123604 = 22337532
BaseRepresentation
bin1000000110011101010100
310222220001000
420012131110
51020423404
6113303300
724023160
oct10063524
93886030
102123604
11122054a
12864b30
13594792
143d3ca0
152be339
hex206754

2123604 has 72 divisors (see below), whose sum is σ = 6413120. Its totient is φ = 595296.

The previous prime is 2123603. The next prime is 2123617. The reversal of 2123604 is 4063212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a d-powerful number, because it can be written as 211 + 1 + 221 + 35 + 65 + 0 + 47 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2123603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40042 + ... + 40094.

22123604 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 2123604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3206560).

2123604 is an abundant number, since it is smaller than the sum of its proper divisors (4289516).

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

2123604 is a wasteful number, since it uses less digits than its factorization.

2123604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2123604 is about 1457.2590709960. The cubic root of 2123604 is about 128.5359203531.

Adding to 2123604 its reverse (4063212), we get a palindrome (6186816).

The spelling of 2123604 in words is "two million, one hundred twenty-three thousand, six hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 53 54 63 84 106 108 126 159 189 212 252 318 371 378 477 636 742 756 954 1113 1431 1484 1908 2226 2809 2862 3339 4452 5618 5724 6678 8427 10017 11236 13356 16854 19663 20034 25281 33708 39326 40068 50562 58989 75843 78652 101124 117978 151686 176967 235956 303372 353934 530901 707868 1061802 2123604