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1420704288 = 253210094889
BaseRepresentation
bin101010010101110…
…0011101000100000
310200000022020220100
41110223203220200
510402200014123
6352550342400
750130534003
oct12453435040
93600266810
101420704288
11669a50183
1233795aa00
1319844a633
14d698153a
1584ad4643
hex54ae3a20

1420704288 has 72 divisors (see below), whose sum is σ = 4044959100. Its totient is φ = 473001984.

The previous prime is 1420704283. The next prime is 1420704293. The reversal of 1420704288 is 8824070241.

It is an interprime number because it is at equal distance from previous prime (1420704283) and next prime (1420704293).

It can be written as a sum of positive squares in 2 ways, for example, as 1420686864 + 17424 = 37692^2 + 132^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (1420704283) 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 11 ways as a sum of consecutive naturals, for example, 288148 + ... + 293036.

Almost surely, 21420704288 is an apocalyptic number.

1420704288 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1420704288 is an abundant number, since it is smaller than the sum of its proper divisors (2624254812).

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

1420704288 is a wasteful number, since it uses less digits than its factorization.

1420704288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5914 (or 5903 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 1420704288 is about 37692.2311358720. The cubic root of 1420704288 is about 1124.1766586142.

The spelling of 1420704288 in words is "one billion, four hundred twenty million, seven hundred four thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1009 2018 3027 4036 4889 6054 8072 9081 9778 12108 14667 16144 18162 19556 24216 29334 32288 36324 39112 44001 48432 58668 72648 78224 88002 96864 117336 145296 156448 176004 234672 290592 352008 469344 704016 1408032 4933001 9866002 14799003 19732004 29598006 39464008 44397009 59196012 78928016 88794018 118392024 157856032 177588036 236784048 355176072 473568096 710352144 1420704288