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68783040 = 2633519419
BaseRepresentation
bin1000001100110…
…00101111000000
311210102112121000
410012120233000
5120102024130
610454132000
71463434434
oct406305700
9153375530
1068783040
113590a797
121b051000
1311333931
1491c69c4
15608a260
hex4198bc0

68783040 has 224 divisors, whose sum is σ = 256032000. Its totient is φ = 17335296.

The previous prime is 68782981. The next prime is 68783053. The reversal of 68783040 is 4038786.

It is a super-2 number, since 2×687830402 = 9462213183283200, which contains 22 as substring.

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 = 68782986 and 68783004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 163951 + ... + 164369.

It is an arithmetic number, because the mean of its divisors is an integer number (1143000).

Almost surely, 268783040 is an apocalyptic number.

68783040 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 68783040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128016000).

68783040 is an abundant number, since it is smaller than the sum of its proper divisors (187248960).

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

68783040 is a wasteful number, since it uses less digits than its factorization.

68783040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 68783040 is about 8293.5541235347. The cubic root of 68783040 is about 409.7262499414.

The spelling of 68783040 in words is "sixty-eight million, seven hundred eighty-three thousand, forty".