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67149390 = 23571141709
BaseRepresentation
bin1000000000010…
…01111001001110
311200100112122110
410000021321032
5114142240030
610355124450
71443521550
oct400117116
9150315573
1067149390
11349a4370
121a5a3726
1310bb1189
148cbd4d0
155d661b0
hex4009e4e

67149390 has 128 divisors (see below), whose sum is σ = 206115840. Its totient is φ = 13593600.

The previous prime is 67149389. The next prime is 67149403. The reversal of 67149390 is 9394176.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 94356 + ... + 95064.

It is an arithmetic number, because the mean of its divisors is an integer number (1610280).

Almost surely, 267149390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67149390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103057920).

67149390 is an abundant number, since it is smaller than the sum of its proper divisors (138966450).

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

67149390 is a wasteful number, since it uses less digits than its factorization.

67149390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778.

The product of its (nonzero) digits is 40824, while the sum is 39.

The square root of 67149390 is about 8194.4731374262. The cubic root of 67149390 is about 406.4564539590.

The spelling of 67149390 in words is "sixty-seven million, one hundred forty-nine thousand, three hundred ninety".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 41 42 55 66 70 77 82 105 110 123 154 165 205 210 231 246 287 330 385 410 451 462 574 615 709 770 861 902 1155 1230 1353 1418 1435 1722 2127 2255 2310 2706 2870 3157 3545 4254 4305 4510 4963 6314 6765 7090 7799 8610 9471 9926 10635 13530 14889 15598 15785 18942 21270 23397 24815 29069 29778 31570 38995 46794 47355 49630 54593 58138 74445 77990 87207 94710 109186 116985 145345 148890 163779 174414 203483 233970 272965 290690 319759 327558 406966 436035 545930 610449 639518 818895 872070 959277 1017415 1220898 1598795 1637790 1918554 2034830 2238313 3052245 3197590 4476626 4796385 6104490 6714939 9592770 11191565 13429878 22383130 33574695 67149390