Search a number
-
+
9200920 = 2352373137
BaseRepresentation
bin100011000110…
…010100011000
3122022110021211
4203012110120
54323412140
6525112504
7141130561
oct43062430
918273254
109200920
115214873
1230b8734
131ba1c41
141317168
15c1b2ea
hex8c6518

9200920 has 64 divisors (see below), whose sum is σ = 22057920. Its totient is φ = 3446784.

The previous prime is 9200881. The next prime is 9200923. The reversal of 9200920 is 290029.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 9200891 and 9200900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9200923) 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, 67092 + ... + 67228.

It is an arithmetic number, because the mean of its divisors is an integer number (344655).

Almost surely, 29200920 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 9200920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11028960).

9200920 is an abundant number, since it is smaller than the sum of its proper divisors (12857000).

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

9200920 is a wasteful number, since it uses less digits than its factorization.

9200920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

The square root of 9200920 is about 3033.3018313383. The cubic root of 9200920 is about 209.5448949985.

Adding to 9200920 its reverse (290029), we get a palindrome (9490949).

It can be divided in two parts, 92009 and 20, that added together give a palindrome (92029).

The spelling of 9200920 in words is "nine million, two hundred thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 73 92 115 137 146 184 230 274 292 365 460 548 584 685 730 920 1096 1370 1460 1679 2740 2920 3151 3358 5480 6302 6716 8395 10001 12604 13432 15755 16790 20002 25208 31510 33580 40004 50005 63020 67160 80008 100010 126040 200020 230023 400040 460046 920092 1150115 1840184 2300230 4600460 9200920