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1981803072 = 26325740163
BaseRepresentation
bin111011000011111…
…1110101001000000
312010010010000201210
41312013332221000
513024320144242
6524352530120
7100053022344
oct16607765100
95103100653
101981803072
11927748a87
12473850940
13257775852
1414b2bd624
15b8ebad9c
hex761fea40

1981803072 has 56 divisors (see below), whose sum is σ = 5264054496. Its totient is φ = 658014208.

The previous prime is 1981803071. The next prime is 1981803091. The reversal of 1981803072 is 2703081891.

1981803072 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 1981803072.

It is not an unprimeable number, because it can be changed into a prime (1981803071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29263 + ... + 69425.

Almost surely, 21981803072 is an apocalyptic number.

1981803072 is a gapful number since it is divisible by the number (12) 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 1981803072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2632027248).

1981803072 is an abundant number, since it is smaller than the sum of its proper divisors (3282251424).

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

1981803072 is a wasteful number, since it uses less digits than its factorization.

1981803072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40435 (or 40425 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 39.

The square root of 1981803072 is about 44517.4468270587. The cubic root of 1981803072 is about 1256.0882867606.

The spelling of 1981803072 in words is "one billion, nine hundred eighty-one million, eight hundred three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 257 514 771 1028 1542 2056 3084 4112 6168 8224 12336 16448 24672 40163 49344 80326 120489 160652 240978 321304 481956 642608 963912 1285216 1927824 2570432 3855648 7711296 10321891 20643782 30965673 41287564 61931346 82575128 123862692 165150256 247725384 330300512 495450768 660601024 990901536 1981803072