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1230540416 = 2771373371
BaseRepresentation
bin100100101011000…
…1000111010000000
310011202110221002222
41021112020322000
510010004243131
6322034430212
742331264250
oct11126107200
93152427088
101230540416
11581676256
122a4132368
13167c28431
14b95dd960
157306e87b
hex49588e80

1230540416 has 32 divisors (see below), whose sum is σ = 2801678880. Its totient is φ = 527374080.

The previous prime is 1230540371. The next prime is 1230540497. The reversal of 1230540416 is 6140450321.

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 685790 + ... + 687581.

It is an arithmetic number, because the mean of its divisors is an integer number (87552465).

Almost surely, 21230540416 is an apocalyptic number.

1230540416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1230540416 is an abundant number, since it is smaller than the sum of its proper divisors (1571138464).

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

1230540416 is an equidigital number, since it uses as much as digits as its factorization.

1230540416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1373392 (or 1373380 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 1230540416 is about 35079.0595084874. The cubic root of 1230540416 is about 1071.5981637898.

Adding to 1230540416 its reverse (6140450321), we get a palindrome (7370990737).

The spelling of 1230540416 in words is "one billion, two hundred thirty million, five hundred forty thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 1373371 2746742 5493484 9613597 10986968 19227194 21973936 38454388 43947872 76908776 87895744 153817552 175791488 307635104 615270208 1230540416