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1230450760 = 235731131263
BaseRepresentation
bin100100101010111…
…0011000001001000
310011202022101010101
41021111303001020
510004443411020
6322032455144
742330442000
oct11125630110
93152271111
101230450760
11581614960
122a40aa4b4
13167bc6696
14b95b9000
157305300a
hex49573048

1230450760 has 256 divisors, whose sum is σ = 3649536000. Its totient is φ = 369734400.

The previous prime is 1230450707. The next prime is 1230450761. The reversal of 1230450760 is 670540321.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (1230450761) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4678389 + ... + 4678651.

It is an arithmetic number, because the mean of its divisors is an integer number (14256000).

Almost surely, 21230450760 is an apocalyptic number.

1230450760 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 1230450760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1824768000).

1230450760 is an abundant number, since it is smaller than the sum of its proper divisors (2419085240).

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

1230450760 is a wasteful number, since it uses less digits than its factorization.

1230450760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 1230450760 is about 35077.7815718155. The cubic root of 1230450760 is about 1071.5721379513.

The spelling of 1230450760 in words is "one billion, two hundred thirty million, four hundred fifty thousand, seven hundred sixty".