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67193064 = 2334971069
BaseRepresentation
bin1000000000101…
…00100011101000
311200102202120000
410000110203220
5114200134224
610400103000
71444063101
oct400244350
9150382500
1067193064
1134a24164
121a604a60
1310bc8013
148cd13a8
155d740c9
hex40148e8

67193064 has 80 divisors (see below), whose sum is σ = 190320900. Its totient is φ = 22146048.

The previous prime is 67193057. The next prime is 67193083. The reversal of 67193064 is 46039176.

It can be written as a sum of positive squares in 2 ways, for example, as 67076100 + 116964 = 8190^2 + 342^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 62322 + ... + 63390.

Almost surely, 267193064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67193064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95160450).

67193064 is an abundant number, since it is smaller than the sum of its proper divisors (123127836).

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

67193064 is a wasteful number, since it uses less digits than its factorization.

67193064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1184 (or 1171 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 67193064 is about 8197.1375491692. The cubic root of 67193064 is about 406.5445546948.

Subtracting from 67193064 its sum of digits (36), we obtain a triangular number (67193028 = T11592).

It can be divided in two parts, 67 and 193064, that added together give a triangular number (193131 = T621).

The spelling of 67193064 in words is "sixty-seven million, one hundred ninety-three thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 97 108 162 194 216 291 324 388 582 648 776 873 1069 1164 1746 2138 2328 2619 3207 3492 4276 5238 6414 6984 7857 8552 9621 10476 12828 15714 19242 20952 25656 28863 31428 38484 57726 62856 76968 86589 103693 115452 173178 207386 230904 311079 346356 414772 622158 692712 829544 933237 1244316 1866474 2488632 2799711 3732948 5599422 7465896 8399133 11198844 16798266 22397688 33596532 67193064