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8318080 = 27541317
BaseRepresentation
bin11111101110110010000000
3120122121021001
4133232302000
54112134310
6454141344
7130462651
oct37566200
916577231
108318080
114771551
122951854
131953154
141167528
15ae493a
hex7eec80

8318080 has 64 divisors (see below), whose sum is σ = 20434680. Its totient is φ = 3235840.

The previous prime is 8318077. The next prime is 8318113. The reversal of 8318080 is 808138.

It can be written as a sum of positive squares in 4 ways, for example, as 2286144 + 6031936 = 1512^2 + 2456^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26082 + ... + 26398.

Almost surely, 28318080 is an apocalyptic number.

8318080 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 8318080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10217340).

8318080 is an abundant number, since it is smaller than the sum of its proper divisors (12116600).

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

8318080 is a wasteful number, since it uses less digits than its factorization.

8318080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 365 counting only the distinct ones).

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

The square root of 8318080 is about 2884.1081810501. The cubic root of 8318080 is about 202.6162924971.

It can be divided in two parts, 831 and 8080, that added together give a triangular number (8911 = T133).

The spelling of 8318080 in words is "eight million, three hundred eighteen thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 80 82 128 160 164 205 317 320 328 410 634 640 656 820 1268 1312 1585 1640 2536 2624 3170 3280 5072 5248 6340 6560 10144 12680 12997 13120 20288 25360 25994 26240 40576 50720 51988 64985 101440 103976 129970 202880 207952 259940 415904 519880 831808 1039760 1663616 2079520 4159040 8318080