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68421375 = 3353111997
BaseRepresentation
bin1000001010000…
…00011011111111
311202202011111000
410011000123333
5120003441000
610442301343
71460400141
oct405003377
9152664430
1068421375
1135692aa0
121aab7853
1311238129
149130c91
156018000
hex41406ff

68421375 has 128 divisors (see below), whose sum is σ = 146764800. Its totient is φ = 31104000.

The previous prime is 68421373. The next prime is 68421401. The reversal of 68421375 is 57312486.

It is not a de Polignac number, because 68421375 - 21 = 68421373 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68421373) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 705327 + ... + 705423.

It is an arithmetic number, because the mean of its divisors is an integer number (1146600).

Almost surely, 268421375 is an apocalyptic number.

68421375 is an abundant number, since it is smaller than the sum of its proper divisors (78343425).

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

68421375 is a wasteful number, since it uses less digits than its factorization.

68421375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 135 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 68421375 is about 8271.7214048830. The cubic root of 68421375 is about 409.0068665741.

Subtracting from 68421375 its reverse (57312486), we obtain a square (11108889 = 33332).

The spelling of 68421375 in words is "sixty-eight million, four hundred twenty-one thousand, three hundred seventy-five".

Divisors: 1 3 5 9 11 15 19 25 27 33 45 55 57 75 95 97 99 125 135 165 171 209 225 275 285 291 297 375 475 485 495 513 627 675 825 855 873 1045 1067 1125 1375 1425 1455 1485 1843 1881 2375 2425 2475 2565 2619 3135 3201 3375 4125 4275 4365 5225 5335 5529 5643 7125 7275 7425 9215 9405 9603 12125 12375 12825 13095 15675 16005 16587 20273 21375 21825 26125 26675 27645 28215 28809 36375 37125 46075 47025 48015 49761 60819 64125 65475 78375 80025 82935 101365 109125 133375 138225 141075 144045 182457 230375 235125 240075 248805 304095 327375 400125 414675 506825 547371 691125 705375 720225 912285 1200375 1244025 1520475 2073375 2534125 2736855 3601125 4561425 6220125 7602375 13684275 22807125 68421375