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6064064 = 26412311
BaseRepresentation
bin10111001000011111000000
3102102002022222
4113020133000
53023022224
6333550212
7102354326
oct27103700
912362288
106064064
113472026
122045368
131344206
14b3bd16
157ebb5e
hex5c87c0

6064064 has 28 divisors (see below), whose sum is σ = 12332208. Its totient is φ = 2956800.

The previous prime is 6064061. The next prime is 6064099. The reversal of 6064064 is 4604606.

6064064 = 1512 + 1522 + ... + 2782.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6064061) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1469 + ... + 3779.

It is an arithmetic number, because the mean of its divisors is an integer number (440436).

Almost surely, 26064064 is an apocalyptic number.

6064064 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6064064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6166104).

6064064 is an abundant number, since it is smaller than the sum of its proper divisors (6268144).

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

6064064 is a wasteful number, since it uses less digits than its factorization.

6064064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2364 (or 2354 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 6064064 is about 2462.5320302485. The cubic root of 6064064 is about 182.3565044538.

The spelling of 6064064 in words is "six million, sixty-four thousand, sixty-four", and thus it is an eban number.

Divisors: 1 2 4 8 16 32 41 64 82 164 328 656 1312 2311 2624 4622 9244 18488 36976 73952 94751 147904 189502 379004 758008 1516016 3032032 6064064