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1230390252 = 22327134761131
BaseRepresentation
bin100100101010110…
…0100001111101100
310011202012022010100
41021111210033230
510004434442002
6322031311100
742330100410
oct11125441754
93152168110
101230390252
11581583453
122a407b490
13167ba4c90
14b95a0d40
157304011c
hex495643ec

1230390252 has 288 divisors, whose sum is σ = 4003743744. Its totient is φ = 310003200.

The previous prime is 1230390251. The next prime is 1230390263. The reversal of 1230390252 is 2520930321.

1230390252 is a `hidden beast` number, since 1 + 23 + 0 + 390 + 252 = 666.

It is not an unprimeable number, because it can be changed into a prime (1230390251) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9392227 + ... + 9392357.

It is an arithmetic number, because the mean of its divisors is an integer number (13901888).

Almost surely, 21230390252 is an apocalyptic number.

1230390252 is a gapful number since it is divisible by the number (12) 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 1230390252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2001871872).

1230390252 is an abundant number, since it is smaller than the sum of its proper divisors (2773353492).

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

1230390252 is a wasteful number, since it uses less digits than its factorization.

1230390252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 1230390252 is about 35076.9190779350. The cubic root of 1230390252 is about 1071.5545726406.

The spelling of 1230390252 in words is "one billion, two hundred thirty million, three hundred ninety thousand, two hundred fifty-two".