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67268201 = 71113175967
BaseRepresentation
bin1000000001001…
…10111001101001
311200120120121212
410000212321221
5114210040301
610401442505
71444525130
oct400467151
9150516555
1067268201
1134a75660
121a640435
1310c23290
148d10917
155d8b4bb
hex4026e69

67268201 has 64 divisors (see below), whose sum is σ = 98703360. Its totient is φ = 44098560.

The previous prime is 67268191. The next prime is 67268203. The reversal of 67268201 is 10286276.

It is not a de Polignac number, because 67268201 - 226 = 159337 is a prime.

It is not an unprimeable number, because it can be changed into a prime (67268203) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1003970 + ... + 1004036.

It is an arithmetic number, because the mean of its divisors is an integer number (1542240).

Almost surely, 267268201 is an apocalyptic number.

It is an amenable number.

67268201 is a deficient number, since it is larger than the sum of its proper divisors (31435159).

67268201 is a wasteful number, since it uses less digits than its factorization.

67268201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174.

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 67268201 is about 8201.7193929078. The cubic root of 67268201 is about 406.6960344135.

The spelling of 67268201 in words is "sixty-seven million, two hundred sixty-eight thousand, two hundred one".

Divisors: 1 7 11 13 17 59 67 77 91 119 143 187 221 413 469 649 737 767 871 1001 1003 1139 1309 1547 2431 3953 4543 5159 5369 6097 7021 7973 8437 9581 11033 12529 13039 14807 17017 27671 43483 51389 59059 67067 67201 77231 87703 91273 103649 143429 162877 304381 359723 470407 565279 739211 873613 1004003 1140139 3956953 5174477 6115291 9609743 67268201