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8130480 = 2435191783
BaseRepresentation
bin11111000000111110110000
3120022001220220
4133000332300
54040133410
6450133040
7126052011
oct37007660
916261826
108130480
114653606
122881180
1318b8947
141119008
15aa9070
hex7c0fb0

8130480 has 80 divisors (see below), whose sum is σ = 26545920. Its totient is φ = 2052864.

The previous prime is 8130449. The next prime is 8130509. The reversal of 8130480 is 840318.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×81304802 = 132209410060800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 8130480.

It is a congruent number.

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, 3669 + ... + 5451.

It is an arithmetic number, because the mean of its divisors is an integer number (331824).

Almost surely, 28130480 is an apocalyptic number.

8130480 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 8130480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13272960).

8130480 is an abundant number, since it is smaller than the sum of its proper divisors (18415440).

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

8130480 is a wasteful number, since it uses less digits than its factorization.

8130480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1818 (or 1812 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 8130480 is about 2851.3996563092. The cubic root of 8130480 is about 201.0814748534.

Adding to 8130480 its reverse (840318), we get a palindrome (8970798).

The spelling of 8130480 in words is "eight million, one hundred thirty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 570 760 912 1140 1520 1783 2280 3566 4560 5349 7132 8915 10698 14264 17830 21396 26745 28528 33877 35660 42792 53490 67754 71320 85584 101631 106980 135508 142640 169385 203262 213960 271016 338770 406524 427920 508155 542032 677540 813048 1016310 1355080 1626096 2032620 2710160 4065240 8130480