Search a number
-
+
905097620 = 225727691201
BaseRepresentation
bin110101111100101…
…011000110010100
32100002002201112002
4311330223012110
53323201110440
6225451214432
731300126400
oct6574530624
92302081462
10905097620
114249a4269
12213147418
1311568ca2b
14882c6100
15546d7115
hex35f2b194

905097620 has 72 divisors (see below), whose sum is σ = 2215742760. Its totient is φ = 309657600.

The previous prime is 905097617. The next prime is 905097643. The reversal of 905097620 is 26790509.

It can be written as a sum of positive squares in 4 ways, for example, as 10010896 + 895086724 = 3164^2 + 29918^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 753020 + ... + 754220.

It is an arithmetic number, because the mean of its divisors is an integer number (30774205).

Almost surely, 2905097620 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 905097620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1107871380).

905097620 is an abundant number, since it is smaller than the sum of its proper divisors (1310645140).

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

905097620 is a wasteful number, since it uses less digits than its factorization.

905097620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1993 (or 1984 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 38.

The square root of 905097620 is about 30084.8403685311. The cubic root of 905097620 is about 967.3088049479.

The spelling of 905097620 in words is "nine hundred five million, ninety-seven thousand, six hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 769 980 1201 1538 2402 3076 3845 4804 5383 6005 7690 8407 10766 12010 15380 16814 21532 24020 26915 33628 37681 42035 53830 58849 75362 84070 107660 117698 150724 168140 188405 235396 294245 376810 588490 753620 923569 1176980 1847138 3694276 4617845 6464983 9235690 12929966 18471380 25859932 32324915 45254881 64649830 90509762 129299660 181019524 226274405 452548810 905097620