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68778900 = 22325276421
BaseRepresentation
bin1000001100101…
…11101110010100
311210102022220200
410012113232110
5120101411100
610454100500
71463416401
oct406275624
9153368820
1068778900
1135907673
121b04a730
1311331a98
1491c52a8
156088e00
hex4197b94

68778900 has 54 divisors (see below), whose sum is σ = 215586462. Its totient is φ = 18340800.

The previous prime is 68778881. The next prime is 68778929. The reversal of 68778900 is 987786.

It can be written as a sum of positive squares in 3 ways, for example, as 121104 + 68657796 = 348^2 + 8286^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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 17 ways as a sum of consecutive naturals, for example, 37311 + ... + 39110.

Almost surely, 268778900 is an apocalyptic number.

68778900 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

68778900 is an abundant number, since it is smaller than the sum of its proper divisors (146807562).

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

68778900 is a wasteful number, since it uses less digits than its factorization.

68778900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76441 (or 76431 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 68778900 is about 8293.3045283530. The cubic root of 68778900 is about 409.7180294037.

The spelling of 68778900 in words is "sixty-eight million, seven hundred seventy-eight thousand, nine 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 76421 152842 229263 305684 382105 458526 687789 764210 917052 1146315 1375578 1528420 1910525 2292630 2751156 3438945 3821050 4585260 5731575 6877890 7642100 11463150 13755780 17194725 22926300 34389450 68778900