Search a number
-
+
9900000 = 25325511
BaseRepresentation
bin100101110000…
…111111100000
3200121222020200
4211300333200
510013300000
6552105200
7150101655
oct45607740
920558220
109900000
115652020
123395200
1320881b6
141459c2c
15d08500
hex970fe0

9900000 has 216 divisors, whose sum is σ = 38388168. Its totient is φ = 2400000.

The previous prime is 9899999. The next prime is 9900047. The reversal of 9900000 is 99.

9900000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a nialpdrome in base 10.

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 899995 + ... + 900005.

It is an arithmetic number, because the mean of its divisors is an integer number (177723).

Almost surely, 29900000 is an apocalyptic number.

9900000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9900000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19194084).

9900000 is an abundant number, since it is smaller than the sum of its proper divisors (28488168).

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

9900000 is a wasteful number, since it uses less digits than its factorization.

9900000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

The square root of 9900000 is about 3146.4265445105. The cubic root of 9900000 is about 214.7229169019.

Adding to 9900000 its reverse (99), we get a palindrome (9900099).

9900000 divided by its reverse (99) gives a 5-th power (100000 = 105).

It can be divided in two parts, 9 and 900000, that added together give a palindrome (900009).

The spelling of 9900000 in words is "nine million, nine hundred thousand".