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68736240 = 2432595467
BaseRepresentation
bin1000001100011…
…01010011110000
311210100011101200
410012031103300
5120044024430
610453131200
71463151126
oct406152360
9153304350
1068736240
1135888611
121b029b00
1311318541
1491b3916
15607b460
hex418d4f0

68736240 has 60 divisors (see below), whose sum is σ = 230841624. Its totient is φ = 18329472.

The previous prime is 68736229. The next prime is 68736247. The reversal of 68736240 is 4263786.

It is a tau number, because it is divible by the number of its divisors (60).

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 = 68736195 and 68736204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68736247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47014 + ... + 48453.

Almost surely, 268736240 is an apocalyptic number.

68736240 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

68736240 is an abundant number, since it is smaller than the sum of its proper divisors (162105384).

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

68736240 is a wasteful number, since it uses less digits than its factorization.

68736240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95486 (or 95477 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 68736240 is about 8290.7321751459. The cubic root of 68736240 is about 409.6333029054.

The spelling of 68736240 in words is "sixty-eight million, seven hundred thirty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 95467 190934 286401 381868 477335 572802 763736 859203 954670 1145604 1432005 1527472 1718406 1909340 2291208 2864010 3436812 3818680 4296015 4582416 5728020 6873624 7637360 8592030 11456040 13747248 17184060 22912080 34368120 68736240