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982744020 = 2232531533323
BaseRepresentation
bin111010100100110…
…111101111010100
32112111012120100200
4322210313233110
54003040302040
6241303340500
733232120626
oct7244675724
92474176320
10982744020
11464808145
12235151730
131287a7a4b
1494738c16
155b423630
hex3a937bd4

982744020 has 144 divisors (see below), whose sum is σ = 3136154112. Its totient is φ = 248751360.

The previous prime is 982744003. The next prime is 982744033. The reversal of 982744020 is 20447289.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 294079 + ... + 297401.

It is an arithmetic number, because the mean of its divisors is an integer number (21778848).

Almost surely, 2982744020 is an apocalyptic number.

982744020 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 982744020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1568077056).

982744020 is an abundant number, since it is smaller than the sum of its proper divisors (2153410092).

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

982744020 is a wasteful number, since it uses less digits than its factorization.

982744020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3422 (or 3417 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 982744020 is about 31348.7483003708. The cubic root of 982744020 is about 994.2146003651.

The spelling of 982744020 in words is "nine hundred eighty-two million, seven hundred forty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 53 60 62 90 93 106 124 155 159 180 186 212 265 279 310 318 372 465 477 530 558 620 636 795 930 954 1060 1116 1395 1590 1643 1860 1908 2385 2790 3180 3286 3323 4770 4929 5580 6572 6646 8215 9540 9858 9969 13292 14787 16430 16615 19716 19938 24645 29574 29907 32860 33230 39876 49290 49845 59148 59814 66460 73935 98580 99690 103013 119628 147870 149535 176119 199380 206026 295740 299070 309039 352238 412052 515065 528357 598140 618078 704476 880595 927117 1030130 1056714 1236156 1545195 1585071 1761190 1854234 2060260 2113428 2641785 3090390 3170142 3522380 3708468 4635585 5283570 5459689 6180780 6340284 7925355 9271170 10567140 10919378 15850710 16379067 18542340 21838756 27298445 31701420 32758134 49137201 54596890 65516268 81895335 98274402 109193780 163790670 196548804 245686005 327581340 491372010 982744020