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1427910336 = 26337731069
BaseRepresentation
bin101010100011100…
…0010111011000000
310200111212100202000
41111013002323000
510411021112321
6353405024000
750246015616
oct12507027300
93614770660
101427910336
11673022196
1233a255000
13199aa1578
14d78d96b6
1585559826
hex551c2ec0

1427910336 has 112 divisors (see below), whose sum is σ = 4207154400. Its totient is φ = 474909696.

The previous prime is 1427910301. The next prime is 1427910343. The reversal of 1427910336 is 6330197241.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1427910336.

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, 1335210 + ... + 1336278.

Almost surely, 21427910336 is an apocalyptic number.

1427910336 is a gapful number since it is divisible by the number (16) 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 1427910336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2103577200).

1427910336 is an abundant number, since it is smaller than the sum of its proper divisors (2779244064).

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

1427910336 is a wasteful number, since it uses less digits than its factorization.

1427910336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1863 (or 1847 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 1427910336 is about 37787.7008562310. The cubic root of 1427910336 is about 1126.0741243464.

The spelling of 1427910336 in words is "one billion, four hundred twenty-seven million, nine hundred ten thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 773 864 1069 1546 1728 2138 2319 3092 3207 4276 4638 6184 6414 6957 8552 9276 9621 12368 12828 13914 17104 18552 19242 20871 24736 25656 27828 28863 34208 37104 38484 41742 49472 51312 55656 57726 68416 74208 76968 83484 102624 111312 115452 148416 153936 166968 205248 222624 230904 307872 333936 445248 461808 615744 667872 826337 923616 1335744 1652674 1847232 2479011 3305348 4958022 6610696 7437033 9916044 13221392 14874066 19832088 22311099 26442784 29748132 39664176 44622198 52885568 59496264 79328352 89244396 118992528 158656704 178488792 237985056 356977584 475970112 713955168 1427910336