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68195712 = 2731319719
BaseRepresentation
bin1000001000010…
…01010110000000
311202022200221010
410010021112000
5114424230322
610433400520
71455440214
oct404112600
9152280833
1068195712
11355494a2
121aa09140
13111894c0
1490b2944
155ec120c
hex4109580

68195712 has 128 divisors (see below), whose sum is σ = 205632000. Its totient is φ = 19851264.

The previous prime is 68195711. The next prime is 68195747. The reversal of 68195712 is 21759186.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (39).

Its product of digits (30240) is a multiple of the sum of its prime divisors (756).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68195711) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 94489 + ... + 95207.

It is an arithmetic number, because the mean of its divisors is an integer number (1606500).

Almost surely, 268195712 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 68195712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102816000).

68195712 is an abundant number, since it is smaller than the sum of its proper divisors (137436288).

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

68195712 is a wasteful number, since it uses less digits than its factorization.

68195712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 756 counting only the distinct ones).

The product of its digits is 30240, while the sum is 39.

The square root of 68195712 is about 8258.0695080630. The cubic root of 68195712 is about 408.5567179034.

The spelling of 68195712 in words is "sixty-eight million, one hundred ninety-five thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 32 38 39 48 52 57 64 76 78 96 104 114 128 152 156 192 208 228 247 304 312 384 416 456 494 608 624 719 741 832 912 988 1216 1248 1438 1482 1664 1824 1976 2157 2432 2496 2876 2964 3648 3952 4314 4992 5752 5928 7296 7904 8628 9347 11504 11856 13661 15808 17256 18694 23008 23712 27322 28041 31616 34512 37388 40983 46016 47424 54644 56082 69024 74776 81966 92032 94848 109288 112164 138048 149552 163932 177593 218576 224328 276096 299104 327864 355186 437152 448656 532779 598208 655728 710372 874304 897312 1065558 1196416 1311456 1420744 1748608 1794624 2131116 2622912 2841488 3589248 4262232 5245824 5682976 8524464 11365952 17048928 22731904 34097856 68195712