Search a number
-
+
690420 = 223537311
BaseRepresentation
bin10101000100011110100
31022002002010
42220203310
5134043140
622444220
75603613
oct2504364
91262063
10690420
114317a5
12293670
131b2343
1413d87a
15d9880
hexa88f4

690420 has 48 divisors (see below), whose sum is σ = 1991808. Its totient is φ = 178560.

The previous prime is 690419. The next prime is 690427. The reversal of 690420 is 24096.

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (690427) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2065 + ... + 2375.

It is an arithmetic number, because the mean of its divisors is an integer number (41496).

2690420 is an apocalyptic number.

690420 is a gapful number since it is divisible by the number (60) 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 690420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (995904).

690420 is an abundant number, since it is smaller than the sum of its proper divisors (1301388).

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

690420 is a wasteful number, since it uses less digits than its factorization.

690420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 690420 is about 830.9151581239. The cubic root of 690420 is about 88.3834848313.

The spelling of 690420 in words is "six hundred ninety thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 311 370 444 555 622 740 933 1110 1244 1555 1866 2220 3110 3732 4665 6220 9330 11507 18660 23014 34521 46028 57535 69042 115070 138084 172605 230140 345210 690420