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1234585056 = 25312860261
BaseRepresentation
bin100100110010110…
…0100010111100000
310012001002102022110
41021211210113200
510012023210211
6322301235320
742410541225
oct11145442740
93161072273
101234585056
11583989031
122a5562b40
13168a13403
14b9d7394c
15735bcea6
hex499645e0

1234585056 has 24 divisors (see below), whose sum is σ = 3240786024. Its totient is φ = 411528320.

The previous prime is 1234585019. The next prime is 1234585087. The reversal of 1234585056 is 6505854321.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 6430035 + ... + 6430226.

It is an arithmetic number, because the mean of its divisors is an integer number (135032751).

Almost surely, 21234585056 is an apocalyptic number.

1234585056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1234585056 is an abundant number, since it is smaller than the sum of its proper divisors (2006200968).

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

1234585056 is a wasteful number, since it uses less digits than its factorization.

1234585056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12860274 (or 12860266 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 39.

The square root of 1234585056 is about 35136.6625620590. The cubic root of 1234585056 is about 1072.7709516953.

The spelling of 1234585056 in words is "one billion, two hundred thirty-four million, five hundred eighty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 12860261 25720522 38580783 51441044 77161566 102882088 154323132 205764176 308646264 411528352 617292528 1234585056