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4260685520 = 24571317173199
BaseRepresentation
bin1111110111110100…
…1110011011010000
3101222221020020202102
43331331032123100
532211213414040
61542441135532
7210404141450
oct37575163320
911887206672
104260685520
111897056103
129aaa8a5a8
1352b9359c0
142c5c11d60
1519e0ba515
hexfdf4e6d0

4260685520 has 320 divisors, whose sum is σ = 13049164800. Its totient is φ = 1255440384.

The previous prime is 4260685463. The next prime is 4260685549. The reversal of 4260685520 is 255860624.

It is a super-2 number, since 2×42606855202 = 36306882200675340800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21410381 + ... + 21410579.

It is an arithmetic number, because the mean of its divisors is an integer number (40778640).

Almost surely, 24260685520 is an apocalyptic number.

4260685520 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 4260685520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6524582400).

4260685520 is an abundant number, since it is smaller than the sum of its proper divisors (8788479280).

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

4260685520 is a wasteful number, since it uses less digits than its factorization.

4260685520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 38.

The square root of 4260685520 is about 65273.9268008291. The cubic root of 4260685520 is about 1621.1622914383.

The spelling of 4260685520 in words is "four billion, two hundred sixty million, six hundred eighty-five thousand, five hundred twenty".