Search a number
-
+
4707421920 = 253453111717
BaseRepresentation
bin1000110001001010…
…11000111011100000
3110011001211210220000
410120211120323200
534120100000140
62055040220000
7224440266105
oct43045307340
913131753800
104707421920
111aa6242843
12ab460a600
135a035c076
143292a0aac
151c8411a30
hex118958ee0

4707421920 has 240 divisors, whose sum is σ = 17150652288. Its totient is φ = 1214714880.

The previous prime is 4707421883. The next prime is 4707421921. The reversal of 4707421920 is 291247074.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×47074219202 = 44319642265792972800, which contains 22 as substring.

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 (4707421921) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 395902 + ... + 407618.

Almost surely, 24707421920 is an apocalyptic number.

4707421920 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 4707421920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8575326144).

4707421920 is an abundant number, since it is smaller than the sum of its proper divisors (12443230368).

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

4707421920 is a wasteful number, since it uses less digits than its factorization.

4707421920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11775 (or 11758 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 4707421920 is about 68610.6545661824. The cubic root of 4707421920 is about 1675.9499380319.

Adding to 4707421920 its reverse (291247074), we get a palindrome (4998668994).

The spelling of 4707421920 in words is "four billion, seven hundred seven million, four hundred twenty-one thousand, nine hundred twenty".