Search a number
-
+
9929900 = 2252109911
BaseRepresentation
bin100101111000…
…010010101100
3200200111021002
4211320102230
510020224100
6552455432
7150255101
oct45702254
920614232
109929900
115672532
1233aa578
1320989a6
141466aa8
15d122d5
hex9784ac

9929900 has 36 divisors (see below), whose sum is σ = 21769440. Its totient is φ = 3931200.

The previous prime is 9929893. The next prime is 9929903. The reversal of 9929900 is 99299.

It is not an unprimeable number, because it can be changed into a prime (9929903) 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, 10445 + ... + 11355.

Almost surely, 29929900 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 9929900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10884720).

9929900 is an abundant number, since it is smaller than the sum of its proper divisors (11839540).

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

9929900 is a wasteful number, since it uses less digits than its factorization.

9929900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034 (or 1027 counting only the distinct ones).

The product of its (nonzero) digits is 13122, while the sum is 38.

The square root of 9929900 is about 3151.1743842574. The cubic root of 9929900 is about 214.9388685042.

Multiplying 9929900 by its reverse (99299), we get a square (986029140100 = 9929902).

9929900 divided by its reverse (99299) gives a square (100 = 102).

The spelling of 9929900 in words is "nine million, nine hundred twenty-nine thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 109 218 436 545 911 1090 1822 2180 2725 3644 4555 5450 9110 10900 18220 22775 45550 91100 99299 198598 397196 496495 992990 1985980 2482475 4964950 9929900