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1214000320 = 26513292347
BaseRepresentation
bin100100001011100…
…0010110011000000
310010121100121100211
41020113002303000
54441241002240
6320244123504
742040555351
oct11027026300
93117317324
101214000320
115732a9455
1229a696594
13164686ab0
14b7335d28
15718a3bea
hex485c2cc0

1214000320 has 168 divisors, whose sum is σ = 3233556144. Its totient is φ = 431542272.

The previous prime is 1214000267. The next prime is 1214000323. The reversal of 1214000320 is 230004121.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 1214000320.

It is not an unprimeable number, because it can be changed into a prime (1214000323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3498387 + ... + 3498733.

It is an arithmetic number, because the mean of its divisors is an integer number (19247358).

Almost surely, 21214000320 is an apocalyptic number.

1214000320 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 1214000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1616778072).

1214000320 is an abundant number, since it is smaller than the sum of its proper divisors (2019555824).

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

1214000320 is a wasteful number, since it uses less digits than its factorization.

1214000320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 1214000320 is about 34842.5073724610. The cubic root of 1214000320 is about 1066.7752563060.

Adding to 1214000320 its reverse (230004121), we get a palindrome (1444004441).

The spelling of 1214000320 in words is "one billion, two hundred fourteen million, three hundred twenty", and thus it is an aban number.