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8142064 = 247139523
BaseRepresentation
bin11111000011110011110000
3120022122210221
4133003303300
54041021224
6450302424
7126130540
oct37036360
916278727
108142064
114661287
122887a14
1318c0cb8
14111d320
15aac6e4
hex7c3cf0

8142064 has 40 divisors (see below), whose sum is σ = 18193280. Its totient is φ = 3457728.

The previous prime is 8142049. The next prime is 8142077. The reversal of 8142064 is 4602418.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15307 + ... + 15829.

It is an arithmetic number, because the mean of its divisors is an integer number (454832).

Almost surely, 28142064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8142064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9096640).

8142064 is an abundant number, since it is smaller than the sum of its proper divisors (10051216).

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

8142064 is a wasteful number, since it uses less digits than its factorization.

8142064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 8142064 is about 2853.4302164237. The cubic root of 8142064 is about 201.1769272922.

The spelling of 8142064 in words is "eight million, one hundred forty-two thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 139 278 523 556 973 1046 1112 1946 2092 2224 3661 3892 4184 7322 7784 8368 14644 15568 29288 58576 72697 145394 290788 508879 581576 1017758 1163152 2035516 4071032 8142064