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676032 = 2637503
BaseRepresentation
bin10100101000011000000
31021100100020
42211003000
5133113112
622253440
75513640
oct2450300
91240306
10676032
11421a05
12287280
131a8926
14138520
15d548c
hexa50c0

676032 has 56 divisors (see below), whose sum is σ = 2048256. Its totient is φ = 192768.

The previous prime is 676031. The next prime is 676037. The reversal of 676032 is 230676.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 675993 and 676011.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 676032.

It is not an unprimeable number, because it can be changed into a prime (676031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1093 + ... + 1595.

It is an arithmetic number, because the mean of its divisors is an integer number (36576).

2676032 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 676032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1024128).

676032 is an abundant number, since it is smaller than the sum of its proper divisors (1372224).

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

676032 is a wasteful number, since it uses less digits than its factorization.

676032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 24.

The square root of 676032 is about 822.2116515837. The cubic root of 676032 is about 87.7652143650.

The spelling of 676032 in words is "six hundred seventy-six thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 503 672 1006 1344 1509 2012 3018 3521 4024 6036 7042 8048 10563 12072 14084 16096 21126 24144 28168 32192 42252 48288 56336 84504 96576 112672 169008 225344 338016 676032