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2642004 = 2233171439
BaseRepresentation
bin1010000101000001010100
311222020011000
422011001110
51134021004
6132343300
731312431
oct12050124
94866130
102642004
111544a82
12a74b30
13716721
144cab88
15372c39
hex285054

2642004 has 48 divisors (see below), whose sum is σ = 7257600. Its totient is φ = 828288.

The previous prime is 2641993. The next prime is 2642039. The reversal of 2642004 is 4002462.

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

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1117 + ... + 2555.

It is an arithmetic number, because the mean of its divisors is an integer number (151200).

22642004 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 2642004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3628800).

2642004 is an abundant number, since it is smaller than the sum of its proper divisors (4615596).

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

2642004 is a wasteful number, since it uses less digits than its factorization.

2642004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1469 (or 1461 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2642004 is about 1625.4242523108. The cubic root of 2642004 is about 138.2434266849.

Adding to 2642004 its reverse (4002462), we get a palindrome (6644466).

The spelling of 2642004 in words is "two million, six hundred forty-two thousand, four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 306 459 612 918 1439 1836 2878 4317 5756 8634 12951 17268 24463 25902 38853 48926 51804 73389 77706 97852 146778 155412 220167 293556 440334 660501 880668 1321002 2642004