Search a number
-
+
68523840 = 26335711103
BaseRepresentation
bin1000001010110…
…01011101000000
311202221101001000
410011121131000
5120020230330
610444412000
71461304650
oct405313500
9152841030
1068523840
1135752a80
121ab47000
1311272968
14915a360
156038560
hex4159740

68523840 has 448 divisors, whose sum is σ = 304312320. Its totient is φ = 14100480.

The previous prime is 68523799. The next prime is 68523841. The reversal of 68523840 is 4832586.

It is a tau number, because it is divible by the number of its divisors (448).

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 = 68523795 and 68523804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68523841) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 665229 + ... + 665331.

Almost surely, 268523840 is an apocalyptic number.

68523840 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 68523840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152156160).

68523840 is an abundant number, since it is smaller than the sum of its proper divisors (235788480).

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

68523840 is a wasteful number, since it uses less digits than its factorization.

68523840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 68523840 is about 8277.9127804055. The cubic root of 68523840 is about 409.2109352862.

The spelling of 68523840 in words is "sixty-eight million, five hundred twenty-three thousand, eight hundred forty".