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998813970 = 2335711107449
BaseRepresentation
bin111011100010001…
…011000100010010
32120121110000012000
4323202023010102
54021144021340
6243040014430
733515531040
oct7342130422
92517400160
10998813970
114728937a0
1223a601416
1312bc133ab
149691d390
155ca49d30
hex3b88b112

998813970 has 256 divisors, whose sum is σ = 3359232000. Its totient is φ = 205148160.

The previous prime is 998813953. The next prime is 998813989. The reversal of 998813970 is 79318899.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 127 ways as a sum of consecutive naturals, for example, 2224306 + ... + 2224754.

It is an arithmetic number, because the mean of its divisors is an integer number (13122000).

Almost surely, 2998813970 is an apocalyptic number.

998813970 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 998813970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1679616000).

998813970 is an abundant number, since it is smaller than the sum of its proper divisors (2360418030).

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

998813970 is a wasteful number, since it uses less digits than its factorization.

998813970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 54.

The square root of 998813970 is about 31604.0182571774. The cubic root of 998813970 is about 999.6045002672.

The spelling of 998813970 in words is "nine hundred ninety-eight million, eight hundred thirteen thousand, nine hundred seventy".