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67469820 = 223511151677
BaseRepresentation
bin1000000010110…
…00000111111100
311200221211012020
410001120013330
5114233013240
610410040140
71446325005
oct401300774
9150854166
1067469820
11350a3090
121a719050
1310c93c92
148d641ac
155dcb0d0
hex40581fc

67469820 has 96 divisors (see below), whose sum is σ = 207760896. Its totient is φ = 16224000.

The previous prime is 67469819. The next prime is 67469849. The reversal of 67469820 is 2896476.

It is a super-2 number, since 2×674698202 = 9104353221664800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99322 + ... + 99998.

It is an arithmetic number, because the mean of its divisors is an integer number (2164176).

Almost surely, 267469820 is an apocalyptic number.

67469820 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67469820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103880448).

67469820 is an abundant number, since it is smaller than the sum of its proper divisors (140291076).

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

67469820 is a wasteful number, since it uses less digits than its factorization.

67469820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 67469820 is about 8214.0014609202. The cubic root of 67469820 is about 407.1019511292.

The spelling of 67469820 in words is "sixty-seven million, four hundred sixty-nine thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 151 165 220 302 330 453 604 660 677 755 906 1354 1510 1661 1812 2031 2265 2708 3020 3322 3385 4062 4530 4983 6644 6770 7447 8124 8305 9060 9966 10155 13540 14894 16610 19932 20310 22341 24915 29788 33220 37235 40620 44682 49830 74470 89364 99660 102227 111705 148940 204454 223410 306681 408908 446820 511135 613362 1022270 1124497 1226724 1533405 2044540 2248994 3066810 3373491 4497988 5622485 6133620 6746982 11244970 13493964 16867455 22489940 33734910 67469820