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4321093920 = 2535112135997
BaseRepresentation
bin1000000011000111…
…01010100100100000
3102011010220022111120
410001203222210200
532322200001140
61552440012240
7212036456313
oct40143524440
912133808446
104321093920
111918165900
12a07161080
1353b2c6810
142cdc5897a
151a454e1d0
hex1018ea920

4321093920 has 576 divisors, whose sum is σ = 16554222720. Its totient is φ = 940769280.

The previous prime is 4321093919. The next prime is 4321093921. The reversal of 4321093920 is 293901234.

It is an interprime number because it is at equal distance from previous prime (4321093919) and next prime (4321093921).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (4321093921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44547312 + ... + 44547408.

It is an arithmetic number, because the mean of its divisors is an integer number (28739970).

Almost surely, 24321093920 is an apocalyptic number.

4321093920 is a gapful number since it is divisible by the number (40) 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 4321093920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8277111360).

4321093920 is an abundant number, since it is smaller than the sum of its proper divisors (12233128800).

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

4321093920 is a wasteful number, since it uses less digits than its factorization.

4321093920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 4321093920 is about 65735.0281052652. The cubic root of 4321093920 is about 1628.7880285273.

The spelling of 4321093920 in words is "four billion, three hundred twenty-one million, ninety-three thousand, nine hundred twenty".