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1230951168 = 2834232989
BaseRepresentation
bin100100101011110…
…1101001100000000
310011210020210120000
41021113231030000
510010110414133
6322051320000
742334624626
oct11127551400
93153223500
101230951168
11581926917
122a42b0000
13168040395
14b96a9516
1573101413
hex495ed300

1230951168 has 360 divisors, whose sum is σ = 4006648800. Its totient is φ = 374685696.

The previous prime is 1230951091. The next prime is 1230951173. The reversal of 1230951168 is 8611590321.

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

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 39 ways as a sum of consecutive naturals, for example, 13830868 + ... + 13830956.

It is an arithmetic number, because the mean of its divisors is an integer number (11129580).

Almost surely, 21230951168 is an apocalyptic number.

1230951168 is a gapful number since it is divisible by the number (18) 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 1230951168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2003324400).

1230951168 is an abundant number, since it is smaller than the sum of its proper divisors (2775697632).

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

1230951168 is an equidigital number, since it uses as much as digits as its factorization.

1230951168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 1230951168 is about 35084.9136809541. The cubic root of 1230951168 is about 1071.7173829874.

The spelling of 1230951168 in words is "one billion, two hundred thirty million, nine hundred fifty-one thousand, one hundred sixty-eight".