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1230854016 = 27372343463
BaseRepresentation
bin100100101011101…
…0101011110000000
310011210001212021210
41021113111132000
510010044312031
6322045250120
742334041450
oct11127253600
93153055253
101230854016
1158186a927
122a4263940
131680080b2
14b9681d60
15730d2746
hex495d5780

1230854016 has 256 divisors, whose sum is σ = 3998269440. Its totient is φ = 327849984.

The previous prime is 1230854011. The next prime is 1230854057. The reversal of 1230854016 is 6104580321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1230854011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2658201 + ... + 2658663.

It is an arithmetic number, because the mean of its divisors is an integer number (15618240).

Almost surely, 21230854016 is an apocalyptic number.

1230854016 is a gapful number since it is divisible by the number (16) 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 1230854016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1999134720).

1230854016 is an abundant number, since it is smaller than the sum of its proper divisors (2767415424).

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

1230854016 is a wasteful number, since it uses less digits than its factorization.

1230854016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 1230854016 is about 35083.5291269279. The cubic root of 1230854016 is about 1071.6891873857.

The spelling of 1230854016 in words is "one billion, two hundred thirty million, eight hundred fifty-four thousand, sixteen".