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1024143912 = 233511471019
BaseRepresentation
bin111101000010110…
…011001000101000
32122101002220100000
4331002303020220
54044140101122
6245342543000
734244036211
oct7502631050
92571086300
101024143912
11486114530
12246b97a60
1313424181c
149a034408
155eda00ac
hex3d0b3228

1024143912 has 192 divisors, whose sum is σ = 3207859200. Its totient is φ = 303445440.

The previous prime is 1024143899. The next prime is 1024143917. The reversal of 1024143912 is 2193414201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1024143917) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1004539 + ... + 1005557.

It is an arithmetic number, because the mean of its divisors is an integer number (16707600).

Almost surely, 21024143912 is an apocalyptic number.

1024143912 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 1024143912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1603929600).

1024143912 is an abundant number, since it is smaller than the sum of its proper divisors (2183715288).

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

1024143912 is a wasteful number, since it uses less digits than its factorization.

1024143912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1098 (or 1082 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1024143912 is about 32002.2485460006. The cubic root of 1024143912 is about 1007.9840558703.

The spelling of 1024143912 in words is "one billion, twenty-four million, one hundred forty-three thousand, nine hundred twelve".