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8000064 = 2632171943
BaseRepresentation
bin11110100001001001000000
3120001110000200
4132201021000
54022000224
6443245200
7124666542
oct36411100
916043020
108000064
114574626
122819800
131871487
1410c3692
15a805c9
hex7a1240

8000064 has 168 divisors, whose sum is σ = 26151840. Its totient is φ = 2322432.

The previous prime is 8000063. The next prime is 8000071. The reversal of 8000064 is 4600008.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (8000063) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 186027 + ... + 186069.

Almost surely, 28000064 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 8000064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13075920).

8000064 is an abundant number, since it is smaller than the sum of its proper divisors (18151776).

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

8000064 is a wasteful number, since it uses less digits than its factorization.

8000064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 8000064 is about 2828.4384384321. The cubic root of 8000064 is about 200.0005333319. Note that the first 3 decimals are identical.

The spelling of 8000064 in words is "eight million, sixty-four", and thus it is an aban number.