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690096 = 243111307
BaseRepresentation
bin10101000011110110000
31022001122010
42220132300
5134040341
622442520
75602641
oct2503660
91261563
10690096
11431530
12293440
131b2154
1413d6c8
15d9716
hexa87b0

690096 has 40 divisors (see below), whose sum is σ = 1946304. Its totient is φ = 208960.

The previous prime is 690089. The next prime is 690103.

690096 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (690089) and next prime (690103).

It is an unprimeable number.

690096 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, 126 + ... + 1181.

2690096 is an apocalyptic number.

690096 is a gapful number since it is divisible by the number (66) 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 690096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (973152).

690096 is an abundant number, since it is smaller than the sum of its proper divisors (1256208).

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

690096 is a wasteful number, since it uses less digits than its factorization.

690096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1329 (or 1323 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 690096 is about 830.7201694915. The cubic root of 690096 is about 88.3696571469.

It can be divided in two parts, 6900 and 96, that added together give a palindrome (6996).

The spelling of 690096 in words is "six hundred ninety thousand, ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 1307 2614 3921 5228 7842 10456 14377 15684 20912 28754 31368 43131 57508 62736 86262 115016 172524 230032 345048 690096