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1230372864 = 217327149
BaseRepresentation
bin100100101010110…
…0000000000000000
310011202011102021100
41021111200000000
510004433412424
6322031054400
742326665620
oct11125400000
93152142240
101230372864
11581571386
122a4071400
13167b9a0a6
14b9598880
1573039dc9
hex49560000

1230372864 has 216 divisors, whose sum is σ = 4089430800. Its totient is φ = 349175808.

The previous prime is 1230372863. The next prime is 1230372883. The reversal of 1230372864 is 4682730321.

It is a happy number.

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 (1230372863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8257462 + ... + 8257610.

It is an arithmetic number, because the mean of its divisors is an integer number (18932550).

Almost surely, 21230372864 is an apocalyptic number.

1230372864 is a gapful number since it is divisible by the number (14) 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 1230372864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2044715400).

1230372864 is an abundant number, since it is smaller than the sum of its proper divisors (2859057936).

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

1230372864 is an frugal number, since it uses more digits than its factorization.

1230372864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 1230372864 is about 35076.6712217679. The cubic root of 1230372864 is about 1071.5495248441.

The spelling of 1230372864 in words is "one billion, two hundred thirty million, three hundred seventy-two thousand, eight hundred sixty-four".