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990158364 = 22331341103167
BaseRepresentation
bin111011000001001…
…001111000011100
32120000011020221000
4323001021320130
54011440031424
6242130310300
733352131036
oct7301117034
92500136830
10990158364
11468a116a8
12237728390
1312a1a2730
1495708c56
155bdda3c9
hex3b049e1c

990158364 has 192 divisors, whose sum is σ = 2876590080. Its totient is φ = 292584960.

The previous prime is 990158363. The next prime is 990158399. The reversal of 990158364 is 463851099.

It is a happy number.

990158364 is a `hidden beast` number, since 9 + 9 + 0 + 1 + 583 + 64 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (990158363) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5929009 + ... + 5929175.

It is an arithmetic number, because the mean of its divisors is an integer number (14982240).

Almost surely, 2990158364 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 990158364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1438295040).

990158364 is an abundant number, since it is smaller than the sum of its proper divisors (1886431716).

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

990158364 is a wasteful number, since it uses less digits than its factorization.

990158364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 990158364 is about 31466.7819136308. The cubic root of 990158364 is about 996.7086334582.

It can be divided in two parts, 9901 and 58364, that added together give a triangular number (68265 = T369).

The spelling of 990158364 in words is "nine hundred ninety million, one hundred fifty-eight thousand, three hundred sixty-four".