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8106480 = 24365139
BaseRepresentation
bin11110111011000111110000
3120020212000000
4132323013300
54033401410
6445430000
7125622024
oct36730760
916225000
108106480
114637578
12286b300
1318aaa45
141110384
15aa1dc0
hex7bb1f0

8106480 has 140 divisors (see below), whose sum is σ = 28461720. Its totient is φ = 2146176.

The previous prime is 8106463. The next prime is 8106491. The reversal of 8106480 is 846018.

8106480 is a `hidden beast` number, since 8 + 10 + 648 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 58251 + ... + 58389.

It is an arithmetic number, because the mean of its divisors is an integer number (203298).

Almost surely, 28106480 is an apocalyptic number.

8106480 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 8106480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14230860).

8106480 is an abundant number, since it is smaller than the sum of its proper divisors (20355240).

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

8106480 is a wasteful number, since it uses less digits than its factorization.

8106480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 8106480 is about 2847.1880865162. The cubic root of 8106480 is about 200.8834253858.

The spelling of 8106480 in words is "eight million, one hundred six thousand, four hundred 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 81 90 108 120 135 139 144 162 180 216 240 243 270 278 324 360 405 417 432 486 540 556 648 695 720 729 810 834 972 1080 1112 1215 1251 1296 1390 1458 1620 1668 1944 2085 2160 2224 2430 2502 2780 2916 3240 3336 3645 3753 3888 4170 4860 5004 5560 5832 6255 6480 6672 7290 7506 8340 9720 10008 11120 11259 11664 12510 14580 15012 16680 18765 19440 20016 22518 25020 29160 30024 33360 33777 37530 45036 50040 56295 58320 60048 67554 75060 90072 100080 101331 112590 135108 150120 168885 180144 202662 225180 270216 300240 337770 405324 450360 506655 540432 675540 810648 900720 1013310 1351080 1621296 2026620 2702160 4053240 8106480