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989020900 = 2252721731383
BaseRepresentation
bin111010111100110…
…100001011100100
32112221000110121201
4322330310023210
54011142132100
6242050052244
733336352600
oct7274641344
92487013551
10989020900
1146830504a
1223727a084
13129b94a8a
14954d0500
155bc6336a
hex3af342e4

989020900 has 216 divisors, whose sum is σ = 2735824896. Its totient is φ = 308044800.

The previous prime is 989020891. The next prime is 989020909. The reversal of 989020900 is 9020989.

It is an interprime number because it is at equal distance from previous prime (989020891) and next prime (989020909).

It is a self number, because there is not a number n which added to its sum of digits gives 989020900.

It is not an unprimeable number, because it can be changed into a prime (989020909) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2582109 + ... + 2582491.

It is an arithmetic number, because the mean of its divisors is an integer number (12665856).

Almost surely, 2989020900 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 989020900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1367912448).

989020900 is an abundant number, since it is smaller than the sum of its proper divisors (1746803996).

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

989020900 is a wasteful number, since it uses less digits than its factorization.

989020900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 37.

The square root of 989020900 is about 31448.7026759452. The cubic root of 989020900 is about 996.3268243000.

The spelling of 989020900 in words is "nine hundred eighty-nine million, twenty thousand, nine hundred".