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8042040 = 2332589251
BaseRepresentation
bin11110101011011000111000
3120010120121100
4132223120320
54024321130
6444211400
7125233116
oct36533070
916116540
108042040
1145a3116
122839b60
131887606
1410d4ab6
15a8cc60
hex7ab638

8042040 has 96 divisors (see below), whose sum is σ = 26535600. Its totient is φ = 2112000.

The previous prime is 8042033. The next prime is 8042053. The reversal of 8042040 is 402408.

It is a happy number.

8042040 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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 (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31915 + ... + 32165.

Almost surely, 28042040 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 8042040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13267800).

8042040 is an abundant number, since it is smaller than the sum of its proper divisors (18493560).

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

8042040 is a wasteful number, since it uses less digits than its factorization.

8042040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 8042040 is about 2835.8490792001. The cubic root of 8042040 is about 200.3497214514.

Adding to 8042040 its reverse (402408), we get a palindrome (8444448).

The spelling of 8042040 in words is "eight million, forty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 89 90 120 178 180 251 267 356 360 445 502 534 712 753 801 890 1004 1068 1255 1335 1506 1602 1780 2008 2136 2259 2510 2670 3012 3204 3560 3765 4005 4518 5020 5340 6024 6408 7530 8010 9036 10040 10680 11295 15060 16020 18072 22339 22590 30120 32040 44678 45180 67017 89356 90360 111695 134034 178712 201051 223390 268068 335085 402102 446780 536136 670170 804204 893560 1005255 1340340 1608408 2010510 2680680 4021020 8042040