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8130240 = 26335941
BaseRepresentation
bin11111000000111011000000
3120022001121000
4133000323000
54040131430
6450132000
7126051216
oct37007300
916261530
108130240
114653408
122881000
1318b87c1
141118cb6
15aa8e60
hex7c0ec0

8130240 has 112 divisors (see below), whose sum is σ = 28712160. Its totient is φ = 2165760.

The previous prime is 8130193. The next prime is 8130251. The reversal of 8130240 is 420318.

It is a happy number.

It is a super-2 number, since 2×81302402 = 132201604915200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8170 + ... + 9110.

Almost surely, 28130240 is an apocalyptic number.

8130240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8130240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14356080).

8130240 is an abundant number, since it is smaller than the sum of its proper divisors (20581920).

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

8130240 is a wasteful number, since it uses less digits than its factorization.

8130240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 967 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 8130240 is about 2851.3575714035. The cubic root of 8130240 is about 201.0794962892.

Adding to 8130240 its reverse (420318), we get a palindrome (8550558).

The spelling of 8130240 in words is "eight million, one hundred thirty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 135 144 160 180 192 216 240 270 288 320 360 432 480 540 576 720 864 941 960 1080 1440 1728 1882 2160 2823 2880 3764 4320 4705 5646 7528 8469 8640 9410 11292 14115 15056 16938 18820 22584 25407 28230 30112 33876 37640 42345 45168 50814 56460 60224 67752 75280 84690 90336 101628 112920 127035 135504 150560 169380 180672 203256 225840 254070 271008 301120 338760 406512 451680 508140 542016 677520 813024 903360 1016280 1355040 1626048 2032560 2710080 4065120 8130240