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8116480 = 28517373
BaseRepresentation
bin11110111101100100000000
3120021100201101
4132331210000
54034211410
6445544144
7125663131
oct36754400
916240641
108116480
114644039
122875054
1318b2468
141113c88
15aa4d3a
hex7bd900

8116480 has 72 divisors (see below), whose sum is σ = 20640312. Its totient is φ = 3047424.

The previous prime is 8116469. The next prime is 8116481. The reversal of 8116480 is 846118.

It can be written as a sum of positive squares in 4 ways, for example, as 1806336 + 6310144 = 1344^2 + 2512^2 .

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (8116481) 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 7 ways as a sum of consecutive naturals, for example, 21574 + ... + 21946.

It is an arithmetic number, because the mean of its divisors is an integer number (286671).

Almost surely, 28116480 is an apocalyptic number.

8116480 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 8116480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10320156).

8116480 is an abundant number, since it is smaller than the sum of its proper divisors (12523832).

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

8116480 is a wasteful number, since it uses less digits than its factorization.

8116480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

The square root of 8116480 is about 2848.9436638867. The cubic root of 8116480 is about 200.9659934383.

It can be divided in two parts, 81 and 16480, that added together give a palindrome (16561).

The spelling of 8116480 in words is "eight million, one hundred sixteen thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 256 272 320 340 373 544 640 680 746 1088 1280 1360 1492 1865 2176 2720 2984 3730 4352 5440 5968 6341 7460 10880 11936 12682 14920 21760 23872 25364 29840 31705 47744 50728 59680 63410 95488 101456 119360 126820 202912 238720 253640 405824 477440 507280 811648 1014560 1623296 2029120 4058240 8116480