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1982745930 = 235112546211
BaseRepresentation
bin111011000101110…
…0100110101001010
312010011212221002110
41312023210311022
513030040332210
6524425043150
7100064030244
oct16613446512
95104787073
101982745930
11928232400
124740264b6
13257a15a59
1414b487094
15b9105420
hex762e4d4a

1982745930 has 48 divisors (see below), whose sum is σ = 5230526112. Its totient is φ = 480664800.

The previous prime is 1982745883. The next prime is 1982745977. The reversal of 1982745930 is 395472891.

It is an interprime number because it is at equal distance from previous prime (1982745883) and next prime (1982745977).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1982745930.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 269476 + ... + 276735.

It is an arithmetic number, because the mean of its divisors is an integer number (108969294).

Almost surely, 21982745930 is an apocalyptic number.

1982745930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1982745930 is an abundant number, since it is smaller than the sum of its proper divisors (3247780182).

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

1982745930 is a wasteful number, since it uses less digits than its factorization.

1982745930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546243 (or 546232 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The square root of 1982745930 is about 44528.0353260729. The cubic root of 1982745930 is about 1256.2874530553.

The spelling of 1982745930 in words is "one billion, nine hundred eighty-two million, seven hundred forty-five thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 121 165 242 330 363 605 726 1210 1815 3630 546211 1092422 1638633 2731055 3277266 5462110 6008321 8193165 12016642 16386330 18024963 30041605 36049926 60083210 66091531 90124815 132183062 180249630 198274593 330457655 396549186 660915310 991372965 1982745930