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696128 = 2673149
BaseRepresentation
bin10101001111101000000
31022100220112
42221331000
5134234003
622530452
75626346
oct2517500
91270815
10696128
11436014
12296a28
131b4b14
14141996
15db3d8
hexa9f40

696128 has 28 divisors (see below), whose sum is σ = 1409700. Its totient is φ = 340992.

The previous prime is 696119. The next prime is 696149. The reversal of 696128 is 821696.

Added to its reverse (821696) it gives a square (1517824 = 12322).

It can be written as a sum of positive squares in 2 ways, for example, as 222784 + 473344 = 472^2 + 688^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 696094 and 696103.

It is a congruent number.

It is an unprimeable number.

696128 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 3 ways as a sum of consecutive naturals, for example, 4598 + ... + 4746.

2696128 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 696128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704850).

696128 is an abundant number, since it is smaller than the sum of its proper divisors (713572).

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

696128 is a wasteful number, since it uses less digits than its factorization.

696128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 224 counting only the distinct ones).

The product of its digits is 5184, while the sum is 32.

The square root of 696128 is about 834.3428551860. The cubic root of 696128 is about 88.6263848029.

Adding to 696128 its reverse (821696), we get a square (1517824 = 12322).

The spelling of 696128 in words is "six hundred ninety-six thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 73 146 149 292 298 584 596 1168 1192 2336 2384 4672 4768 9536 10877 21754 43508 87016 174032 348064 696128