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8240064 = 26376131
BaseRepresentation
bin11111011011101111000000
3120111122020120
4133123233000
54102140224
6452340240
7130016340
oct37335700
916448216
108240064
114718978
122914680
1319267a1
141146d20
15acb779
hex7dbbc0

8240064 has 56 divisors (see below), whose sum is σ = 24920448. Its totient is φ = 2353920.

The previous prime is 8240041. The next prime is 8240077. The reversal of 8240064 is 4600428.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 1722 + ... + 4409.

It is an arithmetic number, because the mean of its divisors is an integer number (445008).

Almost surely, 28240064 is an apocalyptic number.

8240064 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

8240064 is an abundant number, since it is smaller than the sum of its proper divisors (16680384).

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

8240064 is a wasteful number, since it uses less digits than its factorization.

8240064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6153 (or 6143 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 8240064 is about 2870.5511665880. The cubic root of 8240064 is about 201.9808497351.

The spelling of 8240064 in words is "eight million, two hundred forty thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 6131 12262 18393 24524 36786 42917 49048 73572 85834 98096 128751 147144 171668 196192 257502 294288 343336 392384 515004 588576 686672 1030008 1177152 1373344 2060016 2746688 4120032 8240064