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68146540 = 2257111719137
BaseRepresentation
bin1000000111111…
…01010101101100
311202020012110221
410003331111230
5114421142130
610432341124
71455143650
oct403752554
9152205427
1068146540
1135515560
121a9a47a4
131116ccc7
14909ca60
155eb187a
hex40fd56c

68146540 has 192 divisors, whose sum is σ = 200309760. Its totient is φ = 18800640.

The previous prime is 68146537. The next prime is 68146541. The reversal of 68146540 is 4564186.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 68146496 and 68146505.

It is not an unprimeable number, because it can be changed into a prime (68146541) 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, 497352 + ... + 497488.

It is an arithmetic number, because the mean of its divisors is an integer number (1043280).

Almost surely, 268146540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68146540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100154880).

68146540 is an abundant number, since it is smaller than the sum of its proper divisors (132163220).

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

68146540 is a wasteful number, since it uses less digits than its factorization.

68146540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 68146540 is about 8255.0917620581. The cubic root of 68146540 is about 408.4584987205.

It can be divided in two parts, 68146 and 540, that added together give a palindrome (68686).

The spelling of 68146540 in words is "sixty-eight million, one hundred forty-six thousand, five hundred forty".