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998883090 = 2365731877
BaseRepresentation
bin111011100010011…
…011111100010010
32120121120112000000
4323202123330102
54021203224330
6243041310430
733516236412
oct7342337422
92517515000
10998883090
11472930717
1223a635416
1312bc389aa
149693a642
155ca60560
hex3b89bf12

998883090 has 112 divisors (see below), whose sum is σ = 2734135128. Its totient is φ = 262579968.

The previous prime is 998883089. The next prime is 998883097. The reversal of 998883090 is 90388899.

It can be written as a sum of positive squares in 4 ways, for example, as 870899121 + 127983969 = 29511^2 + 11313^2 .

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

It is not an unprimeable number, because it can be changed into a prime (998883097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 531232 + ... + 533108.

Almost surely, 2998883090 is an apocalyptic number.

998883090 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 998883090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1367067564).

998883090 is an abundant number, since it is smaller than the sum of its proper divisors (1735252038).

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

998883090 is a wasteful number, since it uses less digits than its factorization.

998883090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1975 (or 1960 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The square root of 998883090 is about 31605.1117700919. Note that the first 3 decimals coincide. The cubic root of 998883090 is about 999.6275579708.

The spelling of 998883090 in words is "nine hundred ninety-eight million, eight hundred eighty-three thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 73 81 90 135 146 162 219 243 270 365 405 438 486 657 729 730 810 1095 1215 1314 1458 1877 1971 2190 2430 3285 3645 3754 3942 5631 5913 6570 7290 9385 9855 11262 11826 16893 17739 18770 19710 28155 29565 33786 35478 50679 53217 56310 59130 84465 88695 101358 106434 137021 152037 168930 177390 253395 266085 274042 304074 411063 456111 506790 532170 685105 760185 822126 912222 1233189 1368333 1370210 1520370 2055315 2280555 2466378 2736666 3699567 4110630 4561110 6165945 6841665 7399134 11098701 12331890 13683330 18497835 22197402 33296103 36995670 55493505 66592206 99888309 110987010 166480515 199776618 332961030 499441545 998883090