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68009400 = 23325237783
BaseRepresentation
bin1000000110110…
…11110110111000
311201222020100200
410003123312320
5114402300100
610425402200
71454033064
oct403336670
9151866320
1068009400
1135431518
121a939360
1311122764
149064aa4
155e85e00
hex40dbdb8

68009400 has 72 divisors (see below), whose sum is σ = 228404280. Its totient is φ = 18135360.

The previous prime is 68009399. The next prime is 68009419. The reversal of 68009400 is 490086.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

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, 17092 + ... + 20691.

Almost surely, 268009400 is an apocalyptic number.

68009400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

68009400 is an abundant number, since it is smaller than the sum of its proper divisors (160394880).

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

68009400 is a wasteful number, since it uses less digits than its factorization.

68009400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37805 (or 37793 counting only the distinct ones).

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

The square root of 68009400 is about 8246.7811902584. The cubic root of 68009400 is about 408.1843169516.

Adding to 68009400 its reverse (490086), we get a palindrome (68499486).

The spelling of 68009400 in words is "sixty-eight million, nine thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 37783 75566 113349 151132 188915 226698 302264 340047 377830 453396 566745 680094 755660 906792 944575 1133490 1360188 1511320 1700235 1889150 2266980 2720376 2833725 3400470 3778300 4533960 5667450 6800940 7556600 8501175 11334900 13601880 17002350 22669800 34004700 68009400