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38260080 = 2433517713
BaseRepresentation
bin1001000111110…
…0110101110000
32122222210222000
42101330311300
534243310310
63444014000
7643130265
oct221746560
978883860
1038260080
111a662401
1210991300
137c07901
14511d26c
15355b4c0
hex247cd70

38260080 has 80 divisors (see below), whose sum is σ = 131792160. Its totient is φ = 10202112.

The previous prime is 38260049. The next prime is 38260087. The reversal of 38260080 is 8006283.

38260080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38260087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6697 + ... + 11016.

It is an arithmetic number, because the mean of its divisors is an integer number (1647402).

Almost surely, 238260080 is an apocalyptic number.

38260080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38260080 is an abundant number, since it is smaller than the sum of its proper divisors (93532080).

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

38260080 is a wasteful number, since it uses less digits than its factorization.

38260080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17735 (or 17723 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 38260080 is about 6185.4733044449. The cubic root of 38260080 is about 336.9627997105.

The spelling of 38260080 in words is "thirty-eight million, two hundred sixty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 17713 35426 53139 70852 88565 106278 141704 159417 177130 212556 265695 283408 318834 354260 425112 478251 531390 637668 708520 797085 850224 956502 1062780 1275336 1417040 1594170 1913004 2125560 2391255 2550672 3188340 3826008 4251120 4782510 6376680 7652016 9565020 12753360 19130040 38260080