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1420776672 = 25372114251
BaseRepresentation
bin101010010101111…
…0101010011100000
310200000102221012020
41110223311103200
510402204323142
6352552101440
750131255020
oct12453652340
93600387166
101420776672
11669a9a5a7
12337994880
13198474573
14d699da80
1584aeacec
hex54af54e0

1420776672 has 48 divisors (see below), whose sum is σ = 4262332032. Its totient is φ = 405936000.

The previous prime is 1420776647. The next prime is 1420776691. The reversal of 1420776672 is 2766770241.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×14207766723 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1056454 + ... + 1057797.

It is an arithmetic number, because the mean of its divisors is an integer number (88798584).

Almost surely, 21420776672 is an apocalyptic number.

1420776672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1420776672 is an abundant number, since it is smaller than the sum of its proper divisors (2841555360).

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

1420776672 is a wasteful number, since it uses less digits than its factorization.

1420776672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2114271 (or 2114263 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 42.

The square root of 1420776672 is about 37693.1913215106. The cubic root of 1420776672 is about 1124.1957503239.

The spelling of 1420776672 in words is "one billion, four hundred twenty million, seven hundred seventy-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 2114251 4228502 6342753 8457004 12685506 14799757 16914008 25371012 29599514 33828016 44399271 50742024 59199028 67656032 88798542 101484048 118398056 177597084 202968096 236796112 355194168 473592224 710388336 1420776672