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68148540 = 22345233159
BaseRepresentation
bin1000000111111…
…01110100111100
311202020022020000
410003331310330
5114421223130
610432354300
71455152535
oct403756474
9152208200
1068148540
1135517009
121a9a5990
1311170ba5
14909d68c
155eb2260
hex40fdd3c

68148540 has 240 divisors, whose sum is σ = 234178560. Its totient is φ = 16536960.

The previous prime is 68148527. The next prime is 68148541. The reversal of 68148540 is 4584186.

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 = 68148495 and 68148504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68148541) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1155031 + ... + 1155089.

It is an arithmetic number, because the mean of its divisors is an integer number (975744).

Almost surely, 268148540 is an apocalyptic number.

68148540 is a gapful number since it is divisible by the number (60) 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 68148540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117089280).

68148540 is an abundant number, since it is smaller than the sum of its proper divisors (166030020).

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

68148540 is a wasteful number, since it uses less digits than its factorization.

68148540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 68148540 is about 8255.2128985266. The cubic root of 68148540 is about 408.4624945653.

The spelling of 68148540 in words is "sixty-eight million, one hundred forty-eight thousand, five hundred forty".