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68488320 = 273535671
BaseRepresentation
bin1000001010100…
…00110010000000
311202212120022110
410011100302000
5120013111240
610443535320
71461066255
oct405206200
9152776273
1068488320
113572931a
121ab2a540
131125c744
14914b42c
15602cc80
hex4150c80

68488320 has 64 divisors (see below), whose sum is σ = 218312640. Its totient is φ = 18263040.

The previous prime is 68488313. The next prime is 68488333. The reversal of 68488320 is 2388486.

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

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 7 ways as a sum of consecutive naturals, for example, 15916 + ... + 19755.

It is an arithmetic number, because the mean of its divisors is an integer number (3411135).

Almost surely, 268488320 is an apocalyptic number.

68488320 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

68488320 is an abundant number, since it is smaller than the sum of its proper divisors (149824320).

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

68488320 is a wasteful number, since it uses less digits than its factorization.

68488320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35693 (or 35681 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 68488320 is about 8275.7670339371. The cubic root of 68488320 is about 409.1402169074.

The spelling of 68488320 in words is "sixty-eight million, four hundred eighty-eight thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 35671 71342 107013 142684 178355 214026 285368 356710 428052 535065 570736 713420 856104 1070130 1141472 1426840 1712208 2140260 2282944 2853680 3424416 4280520 4565888 5707360 6848832 8561040 11414720 13697664 17122080 22829440 34244160 68488320