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1230483960 = 23355711783
BaseRepresentation
bin100100101010111…
…1011000111111000
310011202101001200000
41021111323013320
510010000441320
6322033313000
742330640536
oct11125730770
93152331600
101230483960
115816378a2
122a4105760
13167c08824
14b95c7156
157305cc90
hex4957b1f8

1230483960 has 192 divisors, whose sum is σ = 4207956480. Its totient is φ = 323326080.

The previous prime is 1230483959. The next prime is 1230483967. The reversal of 1230483960 is 693840321.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1230483967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 689229 + ... + 691011.

It is an arithmetic number, because the mean of its divisors is an integer number (21916440).

Almost surely, 21230483960 is an apocalyptic number.

1230483960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1230483960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2103978240).

1230483960 is an abundant number, since it is smaller than the sum of its proper divisors (2977472520).

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

1230483960 is a wasteful number, since it uses less digits than its factorization.

1230483960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1880 (or 1864 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 1230483960 is about 35078.2548026552. The cubic root of 1230483960 is about 1071.5817755779.

The spelling of 1230483960 in words is "one billion, two hundred thirty million, four hundred eighty-three thousand, nine hundred sixty".