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68532240 = 24357192113
BaseRepresentation
bin1000001010110…
…11100000010000
311202221210120010
410011123200100
5120021012430
610444514520
71461341310
oct405334020
9152853503
1068532240
1135759317
121ab4ba40
131127672a
14915d440
15603acb0
hex415b810

68532240 has 240 divisors, whose sum is σ = 258519168. Its totient is φ = 14708736.

The previous prime is 68532229. The next prime is 68532311. The reversal of 68532240 is 4223586.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 68532198 and 68532207.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 606424 + ... + 606536.

Almost surely, 268532240 is an apocalyptic number.

68532240 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 68532240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129259584).

68532240 is an abundant number, since it is smaller than the sum of its proper divisors (189986928).

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

68532240 is a wasteful number, since it uses less digits than its factorization.

68532240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 68532240 is about 8278.4201391328. The cubic root of 68532240 is about 409.2276556540.

The spelling of 68532240 in words is "sixty-eight million, five hundred thirty-two thousand, two hundred forty".