Search a number
-
+
68448240 = 243557503
BaseRepresentation
bin1000001010001…
…10111111110000
311202210112100000
410011012333300
5120010320430
610443030000
71460541360
oct405067760
9152715300
1068448240
11357011a3
121ab0b300
1311247423
14913a9a0
156020e60
hex4146ff0

68448240 has 240 divisors, whose sum is σ = 272982528. Its totient is φ = 15614208.

The previous prime is 68448223. The next prime is 68448251. The reversal of 68448240 is 4284486.

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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 68448195 and 68448204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 135829 + ... + 136331.

Almost surely, 268448240 is an apocalyptic number.

68448240 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 68448240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136491264).

68448240 is an abundant number, since it is smaller than the sum of its proper divisors (204534288).

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

68448240 is a wasteful number, since it uses less digits than its factorization.

68448240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 68448240 is about 8273.3451517509. The cubic root of 68448240 is about 409.0603904506.

The spelling of 68448240 in words is "sixty-eight million, four hundred forty-eight thousand, two hundred forty".