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68217840 = 2432594747
BaseRepresentation
bin1000001000011…
…10101111110000
311202100211021200
410010032233300
5114430432330
610434051200
71455561555
oct404165760
9152324250
1068217840
1135564089
121aa19b00
13111965b2
1490baa2c
155ec7a60
hex410ebf0

68217840 has 60 divisors (see below), whose sum is σ = 229100664. Its totient is φ = 18191232.

The previous prime is 68217833. The next prime is 68217841. The reversal of 68217840 is 4871286.

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 = 68217795 and 68217804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68217841) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46654 + ... + 48093.

Almost surely, 268217840 is an apocalyptic number.

68217840 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

68217840 is an abundant number, since it is smaller than the sum of its proper divisors (160882824).

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

68217840 is a wasteful number, since it uses less digits than its factorization.

68217840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94766 (or 94757 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 68217840 is about 8259.4091798385. The cubic root of 68217840 is about 408.6009023306.

The spelling of 68217840 in words is "sixty-eight million, two hundred seventeen thousand, eight 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 94747 189494 284241 378988 473735 568482 757976 852723 947470 1136964 1421205 1515952 1705446 1894940 2273928 2842410 3410892 3789880 4263615 4547856 5684820 6821784 7579760 8527230 11369640 13643568 17054460 22739280 34108920 68217840