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1427026720 = 255723311787
BaseRepresentation
bin101010100001110…
…1011001100100000
310200110012110122111
41111003223030200
510410304323340
6353334045104
750235345520
oct12503531440
93613173574
101427026720
11672579329
12339aa9794
13199852312
14d7749680
1585432aea
hex550eb320

1427026720 has 192 divisors, whose sum is σ = 4152508416. Its totient is φ = 452643840.

The previous prime is 1427026669. The next prime is 1427026723. The reversal of 1427026720 is 276207241.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (1427026723) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 797667 + ... + 799453.

It is an arithmetic number, because the mean of its divisors is an integer number (21627648).

Almost surely, 21427026720 is an apocalyptic number.

1427026720 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 1427026720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2076254208).

1427026720 is an abundant number, since it is smaller than the sum of its proper divisors (2725481696).

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

1427026720 is a wasteful number, since it uses less digits than its factorization.

1427026720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1863 (or 1855 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 31.

The square root of 1427026720 is about 37776.0072003382. The cubic root of 1427026720 is about 1125.8417982674.

The spelling of 1427026720 in words is "one billion, four hundred twenty-seven million, twenty-six thousand, seven hundred twenty".