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8166480 = 243574861
BaseRepresentation
bin11111001001110001010000
3120100220022020
4133021301100
54042311410
6451011440
7126261660
oct37116120
916326266
108166480
114678663
122899b80
1318cc14a
1411281a0
15ab4a70
hex7c9c50

8166480 has 80 divisors (see below), whose sum is σ = 28938624. Its totient is φ = 1866240.

The previous prime is 8166469. The next prime is 8166553. The reversal of 8166480 is 846618.

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 751 + ... + 4110.

Almost surely, 28166480 is an apocalyptic number.

8166480 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 8166480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14469312).

8166480 is an abundant number, since it is smaller than the sum of its proper divisors (20772144).

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

8166480 is a wasteful number, since it uses less digits than its factorization.

8166480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4884 (or 4878 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 8166480 is about 2857.7053731972. The cubic root of 8166480 is about 201.3778196021.

It can be divided in two parts, 8166 and 480, that added together give a triangular number (8646 = T131).

The spelling of 8166480 in words is "eight million, one hundred sixty-six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 4861 9722 14583 19444 24305 29166 34027 38888 48610 58332 68054 72915 77776 97220 102081 116664 136108 145830 170135 194440 204162 233328 272216 291660 340270 388880 408324 510405 544432 583320 680540 816648 1020810 1166640 1361080 1633296 2041620 2722160 4083240 8166480