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1214818080 = 2535731107109
BaseRepresentation
bin100100001101000…
…1010011100100000
310010122220011010020
41020122022130200
54441443134310
6320313433440
742050532450
oct11032123440
93118804106
101214818080
11573807893
1229aa0b880
131648b2088
14b74a9d60
15719b6170
hex4868a720

1214818080 has 384 divisors, whose sum is σ = 4598415360. Its totient is φ = 263761920.

The previous prime is 1214818063. The next prime is 1214818093. The reversal of 1214818080 is 808184121.

1214818080 = 62452 + 62462 + ... + 62752.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 11145066 + ... + 11145174.

It is an arithmetic number, because the mean of its divisors is an integer number (11975040).

Almost surely, 21214818080 is an apocalyptic number.

1214818080 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 1214818080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2299207680).

1214818080 is an abundant number, since it is smaller than the sum of its proper divisors (3383597280).

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

1214818080 is a wasteful number, since it uses less digits than its factorization.

1214818080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 33.

The square root of 1214818080 is about 34854.2404880669. The cubic root of 1214818080 is about 1067.0147318962.

The spelling of 1214818080 in words is "one billion, two hundred fourteen million, eight hundred eighteen thousand, eighty".