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8138080 = 255192677
BaseRepresentation
bin11111000010110101100000
3120022110100101
4133002311200
54040404310
6450232144
7126113116
oct37026540
916273311
108138080
114659295
122885654
1318bc242
14111bab6
15aab43a
hex7c2d60

8138080 has 48 divisors (see below), whose sum is σ = 20245680. Its totient is φ = 3082752.

The previous prime is 8138063. The next prime is 8138083. The reversal of 8138080 is 808318.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8138083) 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, 1702 + ... + 4378.

It is an arithmetic number, because the mean of its divisors is an integer number (421785).

Almost surely, 28138080 is an apocalyptic number.

8138080 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 8138080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10122840).

8138080 is an abundant number, since it is smaller than the sum of its proper divisors (12107600).

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

8138080 is a wasteful number, since it uses less digits than its factorization.

8138080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2711 (or 2703 counting only the distinct ones).

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

The square root of 8138080 is about 2852.7320238676. The cubic root of 8138080 is about 201.1441092565.

The spelling of 8138080 in words is "eight million, one hundred thirty-eight thousand, eighty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 160 190 304 380 608 760 1520 2677 3040 5354 10708 13385 21416 26770 42832 50863 53540 85664 101726 107080 203452 214160 254315 406904 428320 508630 813808 1017260 1627616 2034520 4069040 8138080