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8685440 = 27541331
BaseRepresentation
bin100001001000…
…011110000000
3121100021011222
4201020132000
54210413230
6510054212
7133552661
oct41103600
917307158
108685440
1149a2555
122aaa368
131a5141a
141221368
15b686e5
hex848780

8685440 has 64 divisors (see below), whose sum is σ = 21334320. Its totient is φ = 3379200.

The previous prime is 8685409. The next prime is 8685463. The reversal of 8685440 is 445868.

8685440 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 (64).

It is a self number, because there is not a number n which added to its sum of digits gives 8685440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26075 + ... + 26405.

Almost surely, 28685440 is an apocalyptic number.

8685440 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 8685440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10667160).

8685440 is an abundant number, since it is smaller than the sum of its proper divisors (12648880).

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

8685440 is a wasteful number, since it uses less digits than its factorization.

8685440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 35.

The square root of 8685440 is about 2947.1070560806. The cubic root of 8685440 is about 205.5562130758.

The spelling of 8685440 in words is "eight million, six hundred eighty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 80 82 128 160 164 205 320 328 331 410 640 656 662 820 1312 1324 1640 1655 2624 2648 3280 3310 5248 5296 6560 6620 10592 13120 13240 13571 21184 26240 26480 27142 42368 52960 54284 67855 105920 108568 135710 211840 217136 271420 434272 542840 868544 1085680 1737088 2171360 4342720 8685440