Search a number
-
+
990489600 = 21033521433
BaseRepresentation
bin111011000010011…
…010110000000000
32120000210002022000
4323002122300000
54012031131400
6242141344000
733355010532
oct7302326000
92500702260
10990489600
11469118551
12237868000
1312a28a429
1495793852
155be53600
hex3b09ac00

990489600 has 264 divisors, whose sum is σ = 3639893520. Its totient is φ = 263946240.

The previous prime is 990489583. The next prime is 990489611. The reversal of 990489600 is 6984099.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 690484 + ... + 691916.

Almost surely, 2990489600 is an apocalyptic number.

990489600 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 990489600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1819946760).

990489600 is an abundant number, since it is smaller than the sum of its proper divisors (2649403920).

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

990489600 is a wasteful number, since it uses less digits than its factorization.

990489600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1472 (or 1443 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 990489600 is about 31472.0447381482. The cubic root of 990489600 is about 996.8197634839.

The spelling of 990489600 in words is "nine hundred ninety million, four hundred eighty-nine thousand, six hundred".