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1448065040 = 245130113913
BaseRepresentation
bin101011001001111…
…1011100000010000
310201220210022210112
41112103323200100
510431201040130
6355405020452
750612230652
oct12623734020
93656708715
101448065040
11683438774
12344b54728
131a100a226
14da4646d2
15871db495
hex564fb810

1448065040 has 40 divisors (see below), whose sum is σ = 3369581208. Its totient is φ = 578739200.

The previous prime is 1448065039. The next prime is 1448065051. The reversal of 1448065040 is 405608441.

It can be written as a sum of positive squares in 4 ways, for example, as 719104 + 1447345936 = 848^2 + 38044^2 .

It is a tau number, because it is divible by the number of its divisors (40).

1448065040 is a modest number, since divided by 65040 gives 14480 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 1448064988 and 1448065006.

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, 97124 + ... + 111036.

Almost surely, 21448065040 is an apocalyptic number.

1448065040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1448065040 is an abundant number, since it is smaller than the sum of its proper divisors (1921516168).

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

1448065040 is a wasteful number, since it uses less digits than its factorization.

1448065040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15227 (or 15221 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The square root of 1448065040 is about 38053.4497779111. The cubic root of 1448065040 is about 1131.3475036172.

The spelling of 1448065040 in words is "one billion, four hundred forty-eight million, sixty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1301 2602 5204 6505 10408 13010 13913 20816 26020 27826 52040 55652 69565 104080 111304 139130 222608 278260 556520 1113040 18100813 36201626 72403252 90504065 144806504 181008130 289613008 362016260 724032520 1448065040