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67120417 = 7132332069
BaseRepresentation
bin1000000000000…
…10110100100001
311200022001220101
410000002310201
5114140323132
610354342401
71443341230
oct400026441
9150261811
1067120417
1134984621
121a58aa01
1310ba0c30
148cb2b17
155d5c7e7
hex4002d21

67120417 has 16 divisors (see below), whose sum is σ = 86204160. Its totient is φ = 50795712.

The previous prime is 67120409. The next prime is 67120441. The reversal of 67120417 is 71402176.

It is a cyclic number.

It is not a de Polignac number, because 67120417 - 23 = 67120409 is a prime.

It is not an unprimeable number, because it can be changed into a prime (67120447) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 13942 + ... + 18127.

It is an arithmetic number, because the mean of its divisors is an integer number (5387760).

Almost surely, 267120417 is an apocalyptic number.

It is an amenable number.

67120417 is a deficient number, since it is larger than the sum of its proper divisors (19083743).

67120417 is a wasteful number, since it uses less digits than its factorization.

67120417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32112.

The product of its (nonzero) digits is 2352, while the sum is 28.

The square root of 67120417 is about 8192.7051088148. The cubic root of 67120417 is about 406.3979875209.

The spelling of 67120417 in words is "sixty-seven million, one hundred twenty thousand, four hundred seventeen".

Divisors: 1 7 13 23 91 161 299 2093 32069 224483 416897 737587 2918279 5163109 9588631 67120417