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68583840 = 25351329379
BaseRepresentation
bin1000001011010…
…00000110100000
311210001102100020
410011220012200
5120024140330
610445553440
71461644613
oct405500640
9153042306
1068583840
1135794066
121ab75880
1311294070
14917417a
15604b210
hex41681a0

68583840 has 192 divisors, whose sum is σ = 241315200. Its totient is φ = 16257024.

The previous prime is 68583803. The next prime is 68583841. The reversal of 68583840 is 4838586.

It is a junction number, because it is equal to n+sod(n) for n = 68583792 and 68583801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68583841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 180771 + ... + 181149.

It is an arithmetic number, because the mean of its divisors is an integer number (1256850).

Almost surely, 268583840 is an apocalyptic number.

68583840 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 68583840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120657600).

68583840 is an abundant number, since it is smaller than the sum of its proper divisors (172731360).

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

68583840 is a wasteful number, since it uses less digits than its factorization.

68583840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 68583840 is about 8281.5360893979. The cubic root of 68583840 is about 409.3303365216.

The spelling of 68583840 in words is "sixty-eight million, five hundred eighty-three thousand, eight hundred forty".