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4706060040 = 2333511479827
BaseRepresentation
bin1000110001000000…
…01100011100001000
3110010222021121202000
410120200030130020
534114222410130
62054551111000
7224422564443
oct43040143410
913128247660
104706060040
111aa54a2620
12ab4072460
1359cca3216
1432902865a
151c8243260
hex11880c708

4706060040 has 256 divisors, whose sum is σ = 17169408000. Its totient is φ = 1137104640.

The previous prime is 4706060027. The next prime is 4706060041. The reversal of 4706060040 is 400606074.

It is a super-2 number, since 2×47060600402 = 44294002200169603200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 4706059986 and 4706060013.

It is not an unprimeable number, because it can be changed into a prime (4706060041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5690107 + ... + 5690933.

It is an arithmetic number, because the mean of its divisors is an integer number (67068000).

Almost surely, 24706060040 is an apocalyptic number.

4706060040 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 4706060040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8584704000).

4706060040 is an abundant number, since it is smaller than the sum of its proper divisors (12463347960).

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

4706060040 is a wasteful number, since it uses less digits than its factorization.

4706060040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1337 (or 1327 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 4706060040 is about 68600.7291506439. The cubic root of 4706060040 is about 1675.7883022942.

The spelling of 4706060040 in words is "four billion, seven hundred six million, sixty thousand, forty".