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68135900 = 225271947109
BaseRepresentation
bin1000000111110…
…10101111011100
311202012122212212
410003322233130
5114420322100
610432215552
71455100640
oct403725734
9152178785
1068135900
1135508568
121a99a5b8
1311168201
149098c20
155ead635
hex40fabdc

68135900 has 144 divisors (see below), whose sum is σ = 183321600. Its totient is φ = 21461760.

The previous prime is 68135897. The next prime is 68135933. The reversal of 68135900 is 953186.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 625046 + ... + 625154.

Almost surely, 268135900 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 68135900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91660800).

68135900 is an abundant number, since it is smaller than the sum of its proper divisors (115185700).

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

68135900 is a wasteful number, since it uses less digits than its factorization.

68135900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 32.

The square root of 68135900 is about 8254.4472861604. The cubic root of 68135900 is about 408.4372395114.

The spelling of 68135900 in words is "sixty-eight million, one hundred thirty-five thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 19 20 25 28 35 38 47 50 70 76 94 95 100 109 133 140 175 188 190 218 235 266 329 350 380 436 470 475 532 545 658 665 700 763 893 940 950 1090 1175 1316 1330 1526 1645 1786 1900 2071 2180 2350 2660 2725 3052 3290 3325 3572 3815 4142 4465 4700 5123 5450 6251 6580 6650 7630 8225 8284 8930 10246 10355 10900 12502 13300 14497 15260 16450 17860 19075 20492 20710 22325 25004 25615 28994 31255 32900 35861 38150 41420 44650 51230 51775 57988 62510 71722 72485 76300 89300 97337 102460 103550 125020 128075 143444 144970 156275 179305 194674 207100 256150 289940 312550 358610 362425 389348 486685 512300 625100 681359 717220 724850 896525 973370 1362718 1449700 1793050 1946740 2433425 2725436 3406795 3586100 4866850 6813590 9733700 13627180 17033975 34067950 68135900