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75068320 = 2552320399
BaseRepresentation
bin1000111100101…
…11001110100000
312020020212101011
410132113032200
5123204141240
611240550304
71601033035
oct436271640
9166225334
1075068320
1139412a38
1221182394
1312724732
149d8138c
1568cc6ea
hex47973a0

75068320 has 48 divisors (see below), whose sum is σ = 185068800. Its totient is φ = 28720384.

The previous prime is 75068317. The next prime is 75068363. The reversal of 75068320 is 2386057.

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 7 ways as a sum of consecutive naturals, for example, 6520 + ... + 13879.

It is an arithmetic number, because the mean of its divisors is an integer number (3855600).

Almost surely, 275068320 is an apocalyptic number.

It is an amenable number.

75068320 is an abundant number, since it is smaller than the sum of its proper divisors (110000480).

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

75068320 is a wasteful number, since it uses less digits than its factorization.

75068320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20437 (or 20429 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 75068320 is about 8664.1975970080. The cubic root of 75068320 is about 421.8443456099.

The spelling of 75068320 in words is "seventy-five million, sixty-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 80 92 115 160 184 230 368 460 736 920 1840 3680 20399 40798 81596 101995 163192 203990 326384 407980 469177 652768 815960 938354 1631920 1876708 2345885 3263840 3753416 4691770 7506832 9383540 15013664 18767080 37534160 75068320