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669504 = 26311317
BaseRepresentation
bin10100011011101000000
31021000101110
42203131000
5132411004
622203320
75455623
oct2433500
91230343
10669504
11418010
12283540
131a5974
14135dba
15d3589
hexa3740

669504 has 56 divisors (see below), whose sum is σ = 1938528. Its totient is φ = 202240.

The previous prime is 669481. The next prime is 669527. The reversal of 669504 is 405966.

It is an interprime number because it is at equal distance from previous prime (669481) and next prime (669527).

It is a congruent number.

It is an unprimeable number.

669504 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1954 + ... + 2270.

2669504 is an apocalyptic number.

669504 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 669504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (969264).

669504 is an abundant number, since it is smaller than the sum of its proper divisors (1269024).

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

669504 is a wasteful number, since it uses less digits than its factorization.

669504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 669504 is about 818.2322408705. The cubic root of 669504 is about 87.4818030186.

It can be divided in two parts, 66 and 9504, that multiplied together give a square (627264 = 7922).

The spelling of 669504 in words is "six hundred sixty-nine thousand, five hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 317 352 528 634 704 951 1056 1268 1902 2112 2536 3487 3804 5072 6974 7608 10144 10461 13948 15216 20288 20922 27896 30432 41844 55792 60864 83688 111584 167376 223168 334752 669504