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1420886016 = 216331173
BaseRepresentation
bin101010010110001…
…0000000000000000
310200000122111012000
41110230100000000
510402221323031
6352554304000
750132221554
oct12454200000
93600574160
101420886016
1166a064770
12337a28000
131984b2274
14d69cb864
1584b1d3e6
hex54b10000

1420886016 has 272 divisors, whose sum is σ = 4655641920. Its totient is φ = 424673280.

The previous prime is 1420885897. The next prime is 1420886057. The reversal of 1420886016 is 6106880241.

1420886016 is a `hidden beast` number, since 1 + 42 + 0 + 8 + 8 + 601 + 6 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19464156 + ... + 19464228.

Almost surely, 21420886016 is an apocalyptic number.

1420886016 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 1420886016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2327820960).

1420886016 is an abundant number, since it is smaller than the sum of its proper divisors (3234755904).

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

1420886016 is an frugal number, since it uses more digits than its factorization.

1420886016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1420886016 is about 37694.6417412343. The cubic root of 1420886016 is about 1124.2245892233.

The spelling of 1420886016 in words is "one billion, four hundred twenty million, eight hundred eighty-six thousand, sixteen".