Search a number
-
+
903630 = 235713331
BaseRepresentation
bin11011100100111001110
31200220112210
43130213032
5212404010
631211250
710452330
oct3344716
91626483
10903630
11567a02
12376b26
132583c0
14197450
1512cb20
hexdc9ce

903630 has 64 divisors (see below), whose sum is σ = 2677248. Its totient is φ = 190080.

The previous prime is 903613. The next prime is 903641. The reversal of 903630 is 36309.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 903597 and 903606.

It is a congruent number.

It is an unprimeable number.

903630 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 31 ways as a sum of consecutive naturals, for example, 2565 + ... + 2895.

It is an arithmetic number, because the mean of its divisors is an integer number (41832).

2903630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 903630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1338624).

903630 is an abundant number, since it is smaller than the sum of its proper divisors (1773618).

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

903630 is a wasteful number, since it uses less digits than its factorization.

903630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361.

The product of its (nonzero) digits is 486, while the sum is 21.

The square root of 903630 is about 950.5945507944. The cubic root of 903630 is about 96.6785690193.

Adding to 903630 its reverse (36309), we get a palindrome (939939).

The spelling of 903630 in words is "nine hundred three thousand, six hundred thirty".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 78 91 105 130 182 195 210 273 331 390 455 546 662 910 993 1365 1655 1986 2317 2730 3310 4303 4634 4965 6951 8606 9930 11585 12909 13902 21515 23170 25818 30121 34755 43030 60242 64545 69510 90363 129090 150605 180726 301210 451815 903630