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68054140 = 225721159107
BaseRepresentation
bin1000000111001…
…10110001111100
311202001111201201
410003212301330
5114410213030
610430345244
71454310400
oct403466174
9152044651
1068054140
11354620a0
121a95b224
1311139c2b
149077100
155e942ca
hex40e6c7c

68054140 has 144 divisors (see below), whose sum is σ = 186157440. Its totient is φ = 20657280.

The previous prime is 68054131. The next prime is 68054153. The reversal of 68054140 is 4145086.

It is a super-2 number, since 2×680541402 = 9262731942279200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 68054099 and 68054108.

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 47 ways as a sum of consecutive naturals, for example, 635967 + ... + 636073.

It is an arithmetic number, because the mean of its divisors is an integer number (1292760).

Almost surely, 268054140 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 68054140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93078720).

68054140 is an abundant number, since it is smaller than the sum of its proper divisors (118103300).

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

68054140 is a wasteful number, since it uses less digits than its factorization.

68054140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 68054140 is about 8249.4933177741. The cubic root of 68054140 is about 408.2738053812.

The spelling of 68054140 in words is "sixty-eight million, fifty-four thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 49 55 59 70 77 98 107 110 118 140 154 196 214 220 236 245 295 308 385 413 428 490 535 539 590 649 749 770 826 980 1070 1078 1177 1180 1298 1498 1540 1652 2065 2140 2156 2354 2596 2695 2891 2996 3245 3745 4130 4543 4708 5243 5390 5782 5885 6313 6490 7490 8239 8260 9086 10486 10780 11564 11770 12626 12980 14455 14980 16478 18172 20972 22715 23540 25252 26215 28910 31565 31801 32956 41195 44191 45430 52430 57673 57820 63130 63602 69443 82390 88382 90860 104860 115346 126260 127204 138886 159005 164780 176764 220955 230692 277772 288365 309337 318010 347215 441910 486101 576730 618674 636020 694430 883820 972202 1153460 1237348 1388860 1546685 1944404 2430505 3093370 3402707 4861010 6186740 6805414 9722020 13610828 17013535 34027070 68054140