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68136900 = 223521317471
BaseRepresentation
bin1000000111110…
…10111111000100
311202012201020220
410003322333010
5114420340100
610432224340
71455103566
oct403727704
9152181226
1068136900
1135509297
121a99b0b0
13111687c0
149099336
155eadaa0
hex40fafc4

68136900 has 72 divisors (see below), whose sum is σ = 212319744. Its totient is φ = 16771200.

The previous prime is 68136877. The next prime is 68136911. The reversal of 68136900 is 963186.

It is a super-2 number, since 2×681369002 = 9285274283220000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4836 + ... + 12635.

Almost surely, 268136900 is an apocalyptic number.

68136900 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

68136900 is an abundant number, since it is smaller than the sum of its proper divisors (144182844).

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

68136900 is a wasteful number, since it uses less digits than its factorization.

68136900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17501 (or 17494 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 68136900 is about 8254.5078593457. The cubic root of 68136900 is about 408.4392376516.

The spelling of 68136900 in words is "sixty-eight million, one hundred thirty-six thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 1300 1950 3900 17471 34942 52413 69884 87355 104826 174710 209652 227123 262065 349420 436775 454246 524130 681369 873550 908492 1048260 1135615 1310325 1362738 1747100 2271230 2620650 2725476 3406845 4542460 5241300 5678075 6813690 11356150 13627380 17034225 22712300 34068450 68136900