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1923000020 = 2252292931433
BaseRepresentation
bin111001010011110…
…1010011011010100
311222000110112002222
41302213222123110
512414242000040
6514452321512
765440142024
oct16247523324
94860415088
101923000020
118a7535417
12458013298
13248527646
14143573a84
15b3c52bb5
hex729ea6d4

1923000020 has 48 divisors (see below), whose sum is σ = 4072617360. Its totient is φ = 762694656.

The previous prime is 1922999989. The next prime is 1923000047. The reversal of 1923000020 is 200003291.

It can be written as a sum of positive squares in 8 ways, for example, as 694217104 + 1228782916 = 26348^2 + 35054^2 .

It is a super-3 number, since 3×19230000203 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1341224 + ... + 1342656.

It is an arithmetic number, because the mean of its divisors is an integer number (84846195).

Almost surely, 21923000020 is an apocalyptic number.

1923000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1923000020 is an abundant number, since it is smaller than the sum of its proper divisors (2149617340).

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

1923000020 is a wasteful number, since it uses less digits than its factorization.

1923000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1964 (or 1962 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 1923000020 is about 43852.0241266010. The cubic root of 1923000020 is about 1243.5400099341.

The spelling of 1923000020 in words is "one billion, nine hundred twenty-three million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 229 293 458 586 916 1145 1172 1433 1465 2290 2866 2930 4580 5732 5860 7165 14330 28660 67097 134194 268388 328157 335485 419869 656314 670970 839738 1312628 1341940 1640785 1679476 2099345 3281570 4198690 6563140 8397380 96150001 192300002 384600004 480750005 961500010 1923000020