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4665060440 = 2351715145433
BaseRepresentation
bin1000101100000111…
…10010110001011000
3110001010010121212022
410112003302301120
534023223413230
62050524234012
7223414234205
oct42603626130
913033117768
104665060440
111a84339a57
12aa239b908
135946496c1
143237d4cac
151c48451e5
hex1160f2c58

4665060440 has 64 divisors (see below), whose sum is σ = 11187668160. Its totient is φ = 1744588800.

The previous prime is 4665060419. The next prime is 4665060469. The reversal of 4665060440 is 440605664.

It is a self number, because there is not a number n which added to its sum of digits gives 4665060440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79964 + ... + 125396.

It is an arithmetic number, because the mean of its divisors is an integer number (174807315).

Almost surely, 24665060440 is an apocalyptic number.

4665060440 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 4665060440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5593834080).

4665060440 is an abundant number, since it is smaller than the sum of its proper divisors (6522607720).

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

4665060440 is a wasteful number, since it uses less digits than its factorization.

4665060440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45612 (or 45608 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 35.

The square root of 4665060440 is about 68301.2477192035. The cubic root of 4665060440 is about 1670.9075636340.

The spelling of 4665060440 in words is "four billion, six hundred sixty-five million, sixty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 151 170 302 340 604 680 755 1208 1510 2567 3020 5134 6040 10268 12835 20536 25670 45433 51340 90866 102680 181732 227165 363464 454330 772361 908660 1544722 1817320 3089444 3861805 6178888 6860383 7723610 13720766 15447220 27441532 30894440 34301915 54883064 68603830 116626511 137207660 233253022 274415320 466506044 583132555 933012088 1166265110 2332530220 4665060440