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4960660320 = 253557111657
BaseRepresentation
bin1001001111010110…
…11010101101100000
3110210201100122200000
410213223122231200
540124412112240
62140124100000
7233633626350
oct44753325540
913721318600
104960660320
112116188580
12b65394600
13610966785
14350b80b60
151e0785430
hex127adab60

4960660320 has 576 divisors, whose sum is σ = 21900243456. Its totient is φ = 1030164480.

The previous prime is 4960660319. The next prime is 4960660321. The reversal of 4960660320 is 230660694.

4960660320 is a `hidden beast` number, since 49 + 6 + 0 + 6 + 603 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4960660319) and next prime (4960660321).

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 (4960660321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2992932 + ... + 2994588.

It is an arithmetic number, because the mean of its divisors is an integer number (38021256).

Almost surely, 24960660320 is an apocalyptic number.

4960660320 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 4960660320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10950121728).

4960660320 is an abundant number, since it is smaller than the sum of its proper divisors (16939583136).

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

4960660320 is a wasteful number, since it uses less digits than its factorization.

4960660320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1705 (or 1685 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 4960660320 is about 70431.9552476005. The cubic root of 4960660320 is about 1705.4794728839.

The spelling of 4960660320 in words is "four billion, nine hundred sixty million, six hundred sixty thousand, three hundred twenty".