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8382640 = 245714969
BaseRepresentation
bin11111111110100010110000
3120202212211011
4133332202300
54121221030
6455400304
7131152120
oct37764260
916685734
108382640
114806002
122983094
131976656
141182c80
15b08b2a
hex7fe8b0

8382640 has 40 divisors (see below), whose sum is σ = 22275360. Its totient is φ = 2873856.

The previous prime is 8382637. The next prime is 8382707. The reversal of 8382640 is 462838.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6925 + ... + 8044.

It is an arithmetic number, because the mean of its divisors is an integer number (556884).

Almost surely, 28382640 is an apocalyptic number.

8382640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8382640 is an abundant number, since it is smaller than the sum of its proper divisors (13892720).

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

8382640 is a wasteful number, since it uses less digits than its factorization.

8382640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14989 (or 14983 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 8382640 is about 2895.2789157523. The cubic root of 8382640 is about 203.1391379509.

The spelling of 8382640 in words is "eight million, three hundred eighty-two thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 14969 29938 59876 74845 104783 119752 149690 209566 239504 299380 419132 523915 598760 838264 1047830 1197520 1676528 2095660 4191320 8382640