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68970480 = 24351931489
BaseRepresentation
bin1000001110001…
…10011111110000
311210210001201020
410013012133300
5120124023410
610502135440
71465145055
oct407063760
9153701636
1068970480
1135a285a7
121b121580
131139b047
14923502c
1560c5a70
hex41c67f0

68970480 has 80 divisors (see below), whose sum is σ = 215060640. Its totient is φ = 18284544.

The previous prime is 68970463. The next prime is 68970509. The reversal of 68970480 is 8407986.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×689704802 = 9513854222860800, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 45576 + ... + 47064.

It is an arithmetic number, because the mean of its divisors is an integer number (2688258).

Almost surely, 268970480 is an apocalyptic number.

68970480 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 68970480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107530320).

68970480 is an abundant number, since it is smaller than the sum of its proper divisors (146090160).

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

68970480 is a wasteful number, since it uses less digits than its factorization.

68970480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1698 (or 1692 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 68970480 is about 8304.8467776353. The cubic root of 68970480 is about 410.0980927301.

The spelling of 68970480 in words is "sixty-eight million, nine hundred seventy thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 193 240 386 579 772 965 1158 1489 1544 1930 2316 2895 2978 3088 3860 4467 4632 5790 5956 7445 7720 8934 9264 11580 11912 14890 15440 17868 22335 23160 23824 29780 35736 44670 46320 59560 71472 89340 119120 178680 287377 357360 574754 862131 1149508 1436885 1724262 2299016 2873770 3448524 4310655 4598032 5747540 6897048 8621310 11495080 13794096 17242620 22990160 34485240 68970480