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8485360 = 2451341199
BaseRepresentation
bin100000010111…
…100111110000
3120222002201121
4200113213300
54133012420
6501512024
7132060442
oct40274760
916862647
108485360
1148761a4
122a12614
1319b1330
1411ac492
15b292aa
hex8179f0

8485360 has 80 divisors (see below), whose sum is σ = 21873600. Its totient is φ = 3041280.

The previous prime is 8485331. The next prime is 8485387. The reversal of 8485360 is 635848.

8485360 is digitally balanced in base 5, 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 an Ulam number.

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, 42541 + ... + 42739.

It is an arithmetic number, because the mean of its divisors is an integer number (273420).

Almost surely, 28485360 is an apocalyptic number.

8485360 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 8485360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10936800).

8485360 is an abundant number, since it is smaller than the sum of its proper divisors (13388240).

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

8485360 is a wasteful number, since it uses less digits than its factorization.

8485360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 8485360 is about 2912.9641261093. The cubic root of 8485360 is about 203.9655202523.

The spelling of 8485360 in words is "eight million, four hundred eighty-five thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 41 52 65 80 82 104 130 164 199 205 208 260 328 398 410 520 533 656 796 820 995 1040 1066 1592 1640 1990 2132 2587 2665 3184 3280 3980 4264 5174 5330 7960 8159 8528 10348 10660 12935 15920 16318 20696 21320 25870 32636 40795 41392 42640 51740 65272 81590 103480 106067 130544 163180 206960 212134 326360 424268 530335 652720 848536 1060670 1697072 2121340 4242680 8485360