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68684760 = 23345172943
BaseRepresentation
bin1000001100000…
…00101111011000
311210020112210000
410012000233120
5120040403020
610452053000
71462545054
oct406005730
9153215700
1068684760
1135852971
121b004160
13112cac91
14919cc64
15606b090
hex4180bd8

68684760 has 320 divisors, whose sum is σ = 258746400. Its totient is φ = 16257024.

The previous prime is 68684729. The next prime is 68684797. The reversal of 68684760 is 6748686.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1597299 + ... + 1597341.

Almost surely, 268684760 is an apocalyptic number.

68684760 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 68684760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129373200).

68684760 is an abundant number, since it is smaller than the sum of its proper divisors (190061640).

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

68684760 is a wasteful number, since it uses less digits than its factorization.

68684760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 68684760 is about 8287.6269221050. The cubic root of 68684760 is about 409.5310124241.

It can be divided in two parts, 6868 and 4760, that added together give a triangular number (11628 = T152).

The spelling of 68684760 in words is "sixty-eight million, six hundred eighty-four thousand, seven hundred sixty".