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67412142 = 2337273349
BaseRepresentation
bin1000000010010…
…10000010101110
311200211220002000
410001022002232
5114224142032
610404513130
71445664600
oct401120256
9150756060
1067412142
1135063816
121a6ab7a6
1310c73955
148d4b170
155db8e7c
hex404a0ae

67412142 has 96 divisors (see below), whose sum is σ = 177156000. Its totient is φ = 18942336.

The previous prime is 67412141. The next prime is 67412143. The reversal of 67412142 is 24121476.

It is an interprime number because it is at equal distance from previous prime (67412141) and next prime (67412143).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67412141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 192984 + ... + 193332.

It is an arithmetic number, because the mean of its divisors is an integer number (1845375).

Almost surely, 267412142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67412142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88578000).

67412142 is an abundant number, since it is smaller than the sum of its proper divisors (109743858).

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

67412142 is a wasteful number, since it uses less digits than its factorization.

67412142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 434 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 67412142 is about 8210.4897539672. The cubic root of 67412142 is about 406.9859114909.

The spelling of 67412142 in words is "sixty-seven million, four hundred twelve thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 73 98 126 146 147 189 219 294 349 378 438 441 511 657 698 882 1022 1047 1314 1323 1533 1971 2094 2443 2646 3066 3141 3577 3942 4599 4886 6282 7154 7329 9198 9423 10731 13797 14658 17101 18846 21462 21987 25477 27594 32193 34202 43974 50954 51303 64386 65961 76431 96579 102606 131922 152862 153909 178339 193158 229293 307818 356678 458586 461727 535017 687879 923454 1070034 1248373 1375758 1605051 2496746 3210102 3745119 4815153 7490238 9630306 11235357 22470714 33706071 67412142