Search a number
-
+
9200988 = 2232431593
BaseRepresentation
bin100011000110…
…010101011100
3122022110101100
4203012111130
54323412423
6525113100
7141131016
oct43062534
918273340
109200988
115214925
1230b8790
131ba1c94
1413171b6
15c1b343
hex8c655c

9200988 has 36 divisors (see below), whose sum is σ = 23351328. Its totient is φ = 3054720.

The previous prime is 9200981. The next prime is 9201007. The reversal of 9200988 is 8890029.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×92009882 = 169316360352288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9200981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15220 + ... + 15812.

It is an arithmetic number, because the mean of its divisors is an integer number (648648).

Almost surely, 29200988 is an apocalyptic number.

It is an amenable number.

9200988 is an abundant number, since it is smaller than the sum of its proper divisors (14150340).

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

9200988 is a wasteful number, since it uses less digits than its factorization.

9200988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 9200988 is about 3033.3130402252. The cubic root of 9200988 is about 209.5454112157.

The spelling of 9200988 in words is "nine million, two hundred thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 431 593 862 1186 1293 1724 1779 2372 2586 3558 3879 5172 5337 7116 7758 10674 15516 21348 255583 511166 766749 1022332 1533498 2300247 3066996 4600494 9200988