Search a number
-
+
690084 = 223229661
BaseRepresentation
bin10101000011110100100
31022001121200
42220132210
5134040314
622442500
75602623
oct2503644
91261550
10690084
1143151a
12293430
131b2145
1413d6ba
15d9709
hexa87a4

690084 has 36 divisors (see below), whose sum is σ = 1807260. Its totient is φ = 221760.

The previous prime is 690073. The next prime is 690089. The reversal of 690084 is 480096.

It can be written as a sum of positive squares in 2 ways, for example, as 459684 + 230400 = 678^2 + 480^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (690089) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 714 + ... + 1374.

2690084 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 690084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903630).

690084 is an abundant number, since it is smaller than the sum of its proper divisors (1117176).

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

690084 is a wasteful number, since it uses less digits than its factorization.

690084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 690084 is about 830.7129468114. The cubic root of 690084 is about 88.3691449273.

The spelling of 690084 in words is "six hundred ninety thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 661 1044 1322 1983 2644 3966 5949 7932 11898 19169 23796 38338 57507 76676 115014 172521 230028 345042 690084