Search a number
-
+
690930 = 2345853
BaseRepresentation
bin10101000101011110010
31022002210000
42220223302
5134102210
622450430
75605242
oct2505362
91262700
10690930
11432119
12293a16
131b2646
1413db22
15d9ac0
hexa8af2

690930 has 40 divisors (see below), whose sum is σ = 1860012. Its totient is φ = 184032.

The previous prime is 690929. The next prime is 690953. The reversal of 690930 is 39096.

690930 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 613089 + 77841 = 783^2 + 279^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 690894 and 690903.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 384 + ... + 1236.

2690930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 690930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (930006).

690930 is an abundant number, since it is smaller than the sum of its proper divisors (1169082).

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

690930 is a wasteful number, since it uses less digits than its factorization.

690930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 690930 is about 831.2219920094. The cubic root of 690930 is about 88.4052418696.

The spelling of 690930 in words is "six hundred ninety thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 853 1706 2559 4265 5118 7677 8530 12795 15354 23031 25590 38385 46062 69093 76770 115155 138186 230310 345465 690930