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1419820368 = 243475910667
BaseRepresentation
bin101010010100000…
…1011110101010000
310122221122100101120
41110220023311100
510401433222433
6352515402240
750120162661
oct12450136520
93587570346
101419820368
116694a706a
123375b3380
131981cb1c5
14d67d1368
15849ac7b3
hex54a0bd50

1419820368 has 80 divisors (see below), whose sum is σ = 3809756160. Its totient is φ = 455310208.

The previous prime is 1419820349. The next prime is 1419820373. The reversal of 1419820368 is 8630289141.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127771 + ... + 138437.

It is an arithmetic number, because the mean of its divisors is an integer number (47621952).

Almost surely, 21419820368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1419820368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1904878080).

1419820368 is an abundant number, since it is smaller than the sum of its proper divisors (2389935792).

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

1419820368 is a wasteful number, since it uses less digits than its factorization.

1419820368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10784 (or 10778 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 1419820368 is about 37680.5038182878. The cubic root of 1419820368 is about 1123.9434671397.

The spelling of 1419820368 in words is "one billion, four hundred nineteen million, eight hundred twenty thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 59 94 118 141 177 188 236 282 354 376 472 564 708 752 944 1128 1416 2256 2773 2832 5546 8319 10667 11092 16638 21334 22184 32001 33276 42668 44368 64002 66552 85336 128004 133104 170672 256008 501349 512016 629353 1002698 1258706 1504047 1888059 2005396 2517412 3008094 3776118 4010792 5034824 6016188 7552236 8021584 10069648 12032376 15104472 24064752 29579591 30208944 59159182 88738773 118318364 177477546 236636728 354955092 473273456 709910184 1419820368