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68194320 = 24351491907
BaseRepresentation
bin1000001000010…
…01000000010000
311202022122000120
410010021000100
5114424204240
610433350240
71455433155
oct404110020
9152278016
1068194320
1135548447
121aa08380
131118898c
1490b222c
155ec0ad0
hex4109010

68194320 has 80 divisors (see below), whose sum is σ = 212932800. Its totient is φ = 18053632.

The previous prime is 68194319. The next prime is 68194331. The reversal of 68194320 is 2349186.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34807 + ... + 36713.

It is an arithmetic number, because the mean of its divisors is an integer number (2661660).

Almost surely, 268194320 is an apocalyptic number.

68194320 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 68194320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106466400).

68194320 is an abundant number, since it is smaller than the sum of its proper divisors (144738480).

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

68194320 is a wasteful number, since it uses less digits than its factorization.

68194320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2072 (or 2066 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 68194320 is about 8257.9852264339. The cubic root of 68194320 is about 408.5539380863.

The spelling of 68194320 in words is "sixty-eight million, one hundred ninety-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 149 240 298 447 596 745 894 1192 1490 1788 1907 2235 2384 2980 3576 3814 4470 5721 5960 7152 7628 8940 9535 11442 11920 15256 17880 19070 22884 28605 30512 35760 38140 45768 57210 76280 91536 114420 152560 228840 284143 457680 568286 852429 1136572 1420715 1704858 2273144 2841430 3409716 4262145 4546288 5682860 6819432 8524290 11365720 13638864 17048580 22731440 34097160 68194320