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68660100 = 22325276289
BaseRepresentation
bin1000001011110…
…10101110000100
311210012021221200
410011322232010
5120034110400
610451342500
71462413135
oct405725604
9153167850
1068660100
1135836393
121abb1a30
13112bc9a2
149193c8c
156063b00
hex417ab84

68660100 has 54 divisors (see below), whose sum is σ = 215214090. Its totient is φ = 18309120.

The previous prime is 68660089. The next prime is 68660101. The reversal of 68660100 is 106686.

It can be written as a sum of positive squares in 3 ways, for example, as 2304 + 68657796 = 48^2 + 8286^2 .

It is not an unprimeable number, because it can be changed into a prime (68660101) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 37245 + ... + 39044.

Almost surely, 268660100 is an apocalyptic number.

68660100 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

68660100 is an abundant number, since it is smaller than the sum of its proper divisors (146553990).

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

68660100 is a wasteful number, since it uses less digits than its factorization.

68660100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76309 (or 76299 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 68660100 is about 8286.1390285223. The cubic root of 68660100 is about 409.4819950310.

Adding to 68660100 its reverse (106686), we get a palindrome (68766786).

The spelling of 68660100 in words is "sixty-eight million, six hundred sixty 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 76289 152578 228867 305156 381445 457734 686601 762890 915468 1144335 1373202 1525780 1907225 2288670 2746404 3433005 3814450 4577340 5721675 6866010 7628900 11443350 13732020 17165025 22886700 34330050 68660100