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8068032 = 263372329
BaseRepresentation
bin11110110001101111000000
3120011220021000
4132301233000
54031134112
6444532000
7125401650
oct36615700
916156230
108068032
1146106a5
122851000
1318963ab
141100360
15a957dc
hex7b1bc0

8068032 has 224 divisors, whose sum is σ = 29260800. Its totient is φ = 2128896.

The previous prime is 8068019. The next prime is 8068063. The reversal of 8068032 is 2308608.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 8067987 and 8068005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 278194 + ... + 278222.

Almost surely, 28068032 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 8068032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14630400).

8068032 is an abundant number, since it is smaller than the sum of its proper divisors (21192768).

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

8068032 is a wasteful number, since it uses less digits than its factorization.

8068032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 8068032 is about 2840.4281367428. The cubic root of 8068032 is about 200.5653338160.

The spelling of 8068032 in words is "eight million, sixty-eight thousand, thirty-two".