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8180040 = 2335116197
BaseRepresentation
bin11111001101000101001000
3120101120220110
4133031011020
54043230130
6451154320
7126346341
oct37150510
916346813
108180040
114687870
1228a59a0
13190537b
14112d0c8
15ab8ab0
hex7cd148

8180040 has 64 divisors (see below), whose sum is σ = 26775360. Its totient is φ = 1982720.

The previous prime is 8180027. The next prime is 8180041. The reversal of 8180040 is 400818.

It is a junction number, because it is equal to n+sod(n) for n = 8179989 and 8180016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8180041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1779 + ... + 4418.

It is an arithmetic number, because the mean of its divisors is an integer number (418365).

Almost surely, 28180040 is an apocalyptic number.

It is an amenable number.

8180040 is an abundant number, since it is smaller than the sum of its proper divisors (18595320).

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

8180040 is a wasteful number, since it uses less digits than its factorization.

8180040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6222 (or 6218 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 8180040 is about 2860.0769220425. The cubic root of 8180040 is about 201.4892169745.

Adding to 8180040 its reverse (400818), we get a palindrome (8580858).

The spelling of 8180040 in words is "eight million, one hundred eighty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 6197 12394 18591 24788 30985 37182 49576 61970 68167 74364 92955 123940 136334 148728 185910 204501 247880 272668 340835 371820 409002 545336 681670 743640 818004 1022505 1363340 1636008 2045010 2726680 4090020 8180040