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8100080 = 24519732
BaseRepresentation
bin11110111001100011110000
3120020112012222
4132321203300
54033200310
6445340212
7125564252
oct36714360
916215188
108100080
11463278a
122867668
1318a7b61
14110bcd2
15aa0055
hex7b98f0

8100080 has 60 divisors (see below), whose sum is σ = 20099160. Its totient is φ = 3027456.

The previous prime is 8100073. The next prime is 8100091. The reversal of 8100080 is 800018.

It is a happy number.

It is a super-2 number, since 2×81000802 = 131222592012800, which contains 22 as substring.

It is a zygodrome in base 15.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 110924 + ... + 110996.

It is an arithmetic number, because the mean of its divisors is an integer number (334986).

Almost surely, 28100080 is an apocalyptic number.

8100080 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 8100080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10049580).

8100080 is an abundant number, since it is smaller than the sum of its proper divisors (11999080).

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

8100080 is a wasteful number, since it uses less digits than its factorization.

8100080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

The square root of 8100080 is about 2846.0639486842. The cubic root of 8100080 is about 200.8305461908.

Adding to 8100080 its reverse (800018), we get a palindrome (8900098).

The spelling of 8100080 in words is "eight million, one hundred thousand, eighty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 73 76 80 95 146 152 190 292 304 365 380 584 730 760 1168 1387 1460 1520 2774 2920 5329 5548 5840 6935 10658 11096 13870 21316 22192 26645 27740 42632 53290 55480 85264 101251 106580 110960 202502 213160 405004 426320 506255 810008 1012510 1620016 2025020 4050040 8100080