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68808320 = 275715359
BaseRepresentation
bin1000001100111…
…10111010000000
311210110211021022
410012132322000
5120103331240
610454445012
71463601230
oct406367200
9153424238
1068808320
1135927789
121b063768
13113422a9
1491d1cc0
1560929b5
hex419ee80

68808320 has 64 divisors (see below), whose sum is σ = 188006400. Its totient is φ = 23589888.

The previous prime is 68808319. The next prime is 68808343. The reversal of 68808320 is 2380886.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3200 + ... + 12159.

It is an arithmetic number, because the mean of its divisors is an integer number (2937600).

Almost surely, 268808320 is an apocalyptic number.

It is an amenable number.

68808320 is an abundant number, since it is smaller than the sum of its proper divisors (119198080).

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

68808320 is a wasteful number, since it uses less digits than its factorization.

68808320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15385 (or 15373 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 68808320 is about 8295.0780587045. The cubic root of 68808320 is about 409.7764396921.

The spelling of 68808320 in words is "sixty-eight million, eight hundred eight thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 560 640 896 1120 2240 4480 15359 30718 61436 76795 107513 122872 153590 215026 245744 307180 430052 491488 537565 614360 860104 982976 1075130 1228720 1720208 1965952 2150260 2457440 3440416 4300520 4914880 6880832 8601040 9829760 13761664 17202080 34404160 68808320