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1931869420 = 2251321015659
BaseRepresentation
bin111001100100101…
…1111110011101100
311222122011010122021
41303021133303230
512424024310140
6515410355524
765605422235
oct16311376354
94878133567
101931869420
119015430a8
1245ab8bba4
1324a311700
1414480208c
15b4905b4a
hex7325fcec

1931869420 has 72 divisors (see below), whose sum is σ = 4437281520. Its totient is φ = 706118400.

The previous prime is 1931869411. The next prime is 1931869421. The reversal of 1931869420 is 249681391.

It is a happy number.

It is a super-2 number, since 2×19318694202 = 7464238911862272800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1931869421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 338551 + ... + 344209.

It is an arithmetic number, because the mean of its divisors is an integer number (61628910).

Almost surely, 21931869420 is an apocalyptic number.

1931869420 is a gapful number since it is divisible by the number (10) 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 1931869420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2218640760).

1931869420 is an abundant number, since it is smaller than the sum of its proper divisors (2505412100).

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

1931869420 is a wasteful number, since it uses less digits than its factorization.

1931869420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5795 (or 5780 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 43.

The square root of 1931869420 is about 43953.0365276394. The cubic root of 1931869420 is about 1245.4489265606.

The spelling of 1931869420 in words is "one billion, nine hundred thirty-one million, eight hundred sixty-nine thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 101 130 169 202 260 338 404 505 676 845 1010 1313 1690 2020 2626 3380 5252 5659 6565 11318 13130 17069 22636 26260 28295 34138 56590 68276 73567 85345 113180 147134 170690 294268 341380 367835 571559 735670 956371 1143118 1471340 1912742 2286236 2857795 3825484 4781855 5715590 7430267 9563710 11431180 14860534 19127420 29721068 37151335 74302670 96593471 148605340 193186942 386373884 482967355 965934710 1931869420