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8693920 = 25567811
BaseRepresentation
bin100001001010…
…100010100000
3121100200211001
4201022202200
54211201140
6510201344
7133616464
oct41124240
917320731
108693920
1149a8964
122ab3254
131a55241
1412244a4
15b6ae9a
hex84a8a0

8693920 has 48 divisors (see below), whose sum is σ = 20871648. Its totient is φ = 3421440.

The previous prime is 8693917. The next prime is 8693941. The reversal of 8693920 is 293968.

It is a self number, because there is not a number n which added to its sum of digits gives 8693920.

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, 10315 + ... + 11125.

It is an arithmetic number, because the mean of its divisors is an integer number (434826).

Almost surely, 28693920 is an apocalyptic number.

8693920 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 8693920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10435824).

8693920 is an abundant number, since it is smaller than the sum of its proper divisors (12177728).

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

8693920 is a wasteful number, since it uses less digits than its factorization.

8693920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893 (or 885 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 37.

The square root of 8693920 is about 2948.5454040933. The cubic root of 8693920 is about 205.6230893538.

The spelling of 8693920 in words is "eight million, six hundred ninety-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 67 80 134 160 268 335 536 670 811 1072 1340 1622 2144 2680 3244 4055 5360 6488 8110 10720 12976 16220 25952 32440 54337 64880 108674 129760 217348 271685 434696 543370 869392 1086740 1738784 2173480 4346960 8693920