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998540136 = 2334111973101
BaseRepresentation
bin111011100001001…
…000001101101000
32120120221002120000
4323201020031220
54021111241021
6243030103000
733513310506
oct7341101550
92516832500
10998540136
11472716a90
1223a4aaa60
1312bb48869
149688b676
155c9e3b26
hex3b848368

998540136 has 320 divisors, whose sum is σ = 3287908800. Its totient is φ = 279936000.

The previous prime is 998540113. The next prime is 998540141. The reversal of 998540136 is 631045899.

It is a happy number.

998540136 is a `hidden beast` number, since 9 + 98 + 540 + 13 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 998540091 and 998540100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9886486 + ... + 9886586.

It is an arithmetic number, because the mean of its divisors is an integer number (10274715).

Almost surely, 2998540136 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 998540136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1643954400).

998540136 is an abundant number, since it is smaller than the sum of its proper divisors (2289368664).

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

998540136 is a wasteful number, since it uses less digits than its factorization.

998540136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 209 counting only the distinct ones).

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

The square root of 998540136 is about 31599.6856946394. The cubic root of 998540136 is about 999.5131416741.

The spelling of 998540136 in words is "nine hundred ninety-eight million, five hundred forty thousand, one hundred thirty-six".