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4713960240 = 2434511411613
BaseRepresentation
bin1000110001111100…
…10101001100110000
3110011112010222210000
410120332111030300
534123233211430
62055432310000
7224550000213
oct43076251460
913145128700
104713960240
111aa99a9110
12ab6842300
135a180b0b2
1432a0c377a
151c8ca3e60
hex118f95330

4713960240 has 400 divisors, whose sum is σ = 18307640736. Its totient is φ = 1114214400.

The previous prime is 4713960227. The next prime is 4713960283. The reversal of 4713960240 is 420693174.

4713960240 is a `hidden beast` number, since 4 + 7 + 1 + 3 + 9 + 602 + 40 = 666.

It is a super-2 number, since 2×47139602402 = 44442842288601715200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4713960195 and 4713960204.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2921674 + ... + 2923286.

Almost surely, 24713960240 is an apocalyptic number.

4713960240 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 4713960240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9153820368).

4713960240 is an abundant number, since it is smaller than the sum of its proper divisors (13593680496).

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

4713960240 is a wasteful number, since it uses less digits than its factorization.

4713960240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1690 (or 1675 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 4713960240 is about 68658.2860257959. The cubic root of 4713960240 is about 1676.7255095877.

The spelling of 4713960240 in words is "four billion, seven hundred thirteen million, nine hundred sixty thousand, two hundred forty".