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68239584 = 253473761
BaseRepresentation
bin1000001000101…
…00000011100000
311202101221010000
410010110003200
5114432131314
610434340000
71456012140
oct404240340
9152357100
1068239584
1135579456
121aa2a600
13111a346a
1490c4920
155ece209
hex41140e0

68239584 has 120 divisors (see below), whose sum is σ = 229421808. Its totient is φ = 19491840.

The previous prime is 68239573. The next prime is 68239607. The reversal of 68239584 is 48593286.

68239584 is a `hidden beast` number, since 68 + 2 + 3 + 9 + 584 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16264 + ... + 20024.

Almost surely, 268239584 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68239584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114710904).

68239584 is an abundant number, since it is smaller than the sum of its proper divisors (161182224).

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

68239584 is a wasteful number, since it uses less digits than its factorization.

68239584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3790 (or 3773 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 68239584 is about 8260.7253918769. The cubic root of 68239584 is about 408.6443106933.

The spelling of 68239584 in words is "sixty-eight million, two hundred thirty-nine thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 81 84 96 108 112 126 144 162 168 189 216 224 252 288 324 336 378 432 504 567 648 672 756 864 1008 1134 1296 1512 2016 2268 2592 3024 3761 4536 6048 7522 9072 11283 15044 18144 22566 26327 30088 33849 45132 52654 60176 67698 78981 90264 101547 105308 120352 135396 157962 180528 203094 210616 236943 270792 304641 315924 361056 406188 421232 473886 541584 609282 631848 710829 812376 842464 947772 1083168 1218564 1263696 1421658 1624752 1895544 2132487 2437128 2527392 2843316 3249504 3791088 4264974 4874256 5686632 7582176 8529948 9748512 11373264 17059896 22746528 34119792 68239584