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69600064 = 261278563
BaseRepresentation
bin1000010011000…
…00001101000000
311211222001100011
410021200031000
5120304200224
610523434304
71503406432
oct411401500
9154861304
1069600064
1136318616
121b385994
131155b791
14935a652
15619c394
hex4260340

69600064 has 28 divisors (see below), whose sum is σ = 139216384. Its totient is φ = 34521984.

The previous prime is 69600061. The next prime is 69600073. The reversal of 69600064 is 46000696.

69600064 is an admirable number.

It is a junction number, because it is equal to n+sod(n) for n = 69599999 and 69600035.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (69600061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3847 + ... + 12409.

Almost surely, 269600064 is an apocalyptic number.

69600064 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 69600064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69608192).

69600064 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

69600064 is a wasteful number, since it uses less digits than its factorization.

69600064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8702 (or 8692 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The square root of 69600064 is about 8342.6652815512. The cubic root of 69600064 is about 411.3421493230.

The spelling of 69600064 in words is "sixty-nine million, six hundred thousand, sixty-four".

Divisors: 1 2 4 8 16 32 64 127 254 508 1016 2032 4064 8128 8563 17126 34252 68504 137008 274016 548032 1087501 2175002 4350004 8700008 17400016 34800032 69600064