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67414050 = 232521113619
BaseRepresentation
bin1000000010010…
…10100000100010
311200211222200200
410001022200202
5114224222200
610404530030
71446003264
oct401124042
9150758620
1067414050
11350651a0
121a6b0916
1310c74792
148d4bb34
155db9800
hex404a822

67414050 has 72 divisors (see below), whose sum is σ = 197598960. Its totient is φ = 16341600.

The previous prime is 67414043. The next prime is 67414063. The reversal of 67414050 is 5041476.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 1860 + ... + 11759.

It is an arithmetic number, because the mean of its divisors is an integer number (2744430).

Almost surely, 267414050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67414050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98799480).

67414050 is an abundant number, since it is smaller than the sum of its proper divisors (130184910).

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

67414050 is a wasteful number, since it uses less digits than its factorization.

67414050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13648 (or 13640 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 67414050 is about 8210.6059459701. The cubic root of 67414050 is about 406.9897511641.

The spelling of 67414050 in words is "sixty-seven million, four hundred fourteen thousand, fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 30 33 45 50 55 66 75 90 99 110 150 165 198 225 275 330 450 495 550 825 990 1650 2475 4950 13619 27238 40857 68095 81714 122571 136190 149809 204285 245142 299618 340475 408570 449427 612855 680950 749045 898854 1021425 1225710 1348281 1498090 2042850 2247135 2696562 3064275 3745225 4494270 6128550 6741405 7490450 11235675 13482810 22471350 33707025 67414050