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1420586336 = 251327112601
BaseRepresentation
bin101010010101100…
…0110110101100000
310200000002021002202
41110223012311200
510402132230321
6352544032332
750126533061
oct12453066540
93600067082
101420586336
1166997a5a4
123379026a8
13198408a40
14d6950568
1584aae70b
hex54ac6d60

1420586336 has 48 divisors (see below), whose sum is σ = 3023270208. Its totient is φ = 653184000.

The previous prime is 1420586303. The next prime is 1420586341. The reversal of 1420586336 is 6336850241.

It is a super-3 number, since 3×14205863363 (a number of 28 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1420586336.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106436 + ... + 119036.

It is an arithmetic number, because the mean of its divisors is an integer number (62984796).

Almost surely, 21420586336 is an apocalyptic number.

1420586336 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 1420586336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1511635104).

1420586336 is an abundant number, since it is smaller than the sum of its proper divisors (1602683872).

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

1420586336 is a wasteful number, since it uses less digits than its factorization.

1420586336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12895 (or 12887 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 38.

The square root of 1420586336 is about 37690.6664308287. Note that the first 3 decimals coincide. The cubic root of 1420586336 is about 1124.1455466847.

The spelling of 1420586336 in words is "one billion, four hundred twenty million, five hundred eighty-six thousand, three hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 271 416 542 1084 2168 3523 4336 7046 8672 12601 14092 25202 28184 50404 56368 100808 112736 163813 201616 327626 403232 655252 1310504 2621008 3414871 5242016 6829742 13659484 27318968 44393323 54637936 88786646 109275872 177573292 355146584 710293168 1420586336