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68297600 = 275273049
BaseRepresentation
bin1000001001000…
…10001110000000
311202111212200202
410010202032000
5114441010400
610435504332
71456343240
oct404421600
9152455622
1068297600
1135608aa8
121aa580a8
13111c39a7
1490dbb20
155ee14d5
hex4122380

68297600 has 96 divisors (see below), whose sum is σ = 192882000. Its totient is φ = 23408640.

The previous prime is 68297587. The next prime is 68297617. The reversal of 68297600 is 679286.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20876 + ... + 23924.

Almost surely, 268297600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68297600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96441000).

68297600 is an abundant number, since it is smaller than the sum of its proper divisors (124584400).

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

68297600 is a wasteful number, since it uses less digits than its factorization.

68297600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3080 (or 3063 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 38.

The square root of 68297600 is about 8264.2362018519. The cubic root of 68297600 is about 408.7600851038.

The spelling of 68297600 in words is "sixty-eight million, two hundred ninety-seven thousand, six hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 128 140 160 175 200 224 280 320 350 400 448 560 640 700 800 896 1120 1400 1600 2240 2800 3049 3200 4480 5600 6098 11200 12196 15245 21343 22400 24392 30490 42686 48784 60980 76225 85372 97568 106715 121960 152450 170744 195136 213430 243920 304900 341488 390272 426860 487840 533575 609800 682976 853720 975680 1067150 1219600 1365952 1707440 1951360 2134300 2439200 2731904 3414880 4268600 4878400 6829760 8537200 9756800 13659520 17074400 34148800 68297600