Search a number
-
+
67029990 = 23547137347
BaseRepresentation
bin1111111110110…
…0101111100110
311200010110212020
43333230233212
5114124424430
610352404010
71442513466
oct377545746
9150113766
1067029990
1134922695
121a546606
1310b6ba21
148c8bba6
155d40b10
hex3fecbe6

67029990 has 64 divisors (see below), whose sum is σ = 165970944. Its totient is φ = 17316608.

The previous prime is 67029983. The next prime is 67030013. The reversal of 67029990 is 9992076.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 192997 + ... + 193343.

It is an arithmetic number, because the mean of its divisors is an integer number (2593296).

Almost surely, 267029990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67029990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82985472).

67029990 is an abundant number, since it is smaller than the sum of its proper divisors (98940954).

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

67029990 is a wasteful number, since it uses less digits than its factorization.

67029990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541.

The product of its (nonzero) digits is 61236, while the sum is 42.

The square root of 67029990 is about 8187.1844977379. The cubic root of 67029990 is about 406.2154009193.

The spelling of 67029990 in words is "sixty-seven million, twenty-nine thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 47 94 137 141 235 274 282 347 411 470 685 694 705 822 1041 1370 1410 1735 2055 2082 3470 4110 5205 6439 10410 12878 16309 19317 32195 32618 38634 47539 48927 64390 81545 95078 96585 97854 142617 163090 193170 237695 244635 285234 475390 489270 713085 1426170 2234333 4468666 6702999 11171665 13405998 22343330 33514995 67029990