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268460060 = 225119771249
BaseRepresentation
bin10000000000000…
…110000000011100
3200201011011222012
4100000012000130
51022211210220
642350010352
76436605251
oct2000060034
9621134865
10268460060
111285a2020
1275aa69b8
1343806c0b
1427923428
151887dac5
hex1000601c

268460060 has 48 divisors (see below), whose sum is σ = 616140000. Its totient is φ = 97443840.

The previous prime is 268460057. The next prime is 268460069. The reversal of 268460060 is 60064862.

It is a happy number.

268460060 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2684600603 (a number of 26 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 268459999 and 268460026.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268460069) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 214316 + ... + 215564.

It is an arithmetic number, because the mean of its divisors is an integer number (12836250).

Almost surely, 2268460060 is an apocalyptic number.

268460060 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268460060 is an abundant number, since it is smaller than the sum of its proper divisors (347679940).

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

268460060 is a wasteful number, since it uses less digits than its factorization.

268460060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2246 (or 2244 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 268460060 is about 16384.7508372877. The cubic root of 268460060 is about 645.0992856395.

The spelling of 268460060 in words is "two hundred sixty-eight million, four hundred sixty thousand, sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 977 1249 1954 2498 3908 4885 4996 6245 9770 10747 12490 13739 19540 21494 24980 27478 42988 53735 54956 68695 107470 137390 214940 274780 1220273 2440546 4881092 6101365 12202730 13423003 24405460 26846006 53692012 67115015 134230030 268460060