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68120100 = 22325275689
BaseRepresentation
bin1000000111101…
…10111000100100
311202011212012200
410003312320210
5114414320400
610432014500
71455003606
oct403667044
9152155180
1068120100
11354a7704
121a991430
1311160c69
149093176
155ea8b00
hex40f6e24

68120100 has 54 divisors (see below), whose sum is σ = 213521490. Its totient is φ = 18165120.

The previous prime is 68120083. The next prime is 68120119. The reversal of 68120100 is 102186.

It can be written as a sum of positive squares in 3 ways, for example, as 22638564 + 45481536 = 4758^2 + 6744^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 36945 + ... + 38744.

Almost surely, 268120100 is an apocalyptic number.

68120100 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

68120100 is an abundant number, since it is smaller than the sum of its proper divisors (145401390).

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

68120100 is a wasteful number, since it uses less digits than its factorization.

68120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75709 (or 75699 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 68120100 is about 8253.4901708308. The cubic root of 68120100 is about 408.4056663012.

Adding to 68120100 its reverse (102186), we get a palindrome (68222286).

The spelling of 68120100 in words is "sixty-eight million, one hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 75689 151378 227067 302756 378445 454134 681201 756890 908268 1135335 1362402 1513780 1892225 2270670 2724804 3406005 3784450 4541340 5676675 6812010 7568900 11353350 13624020 17030025 22706700 34060050 68120100