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67378542 = 237112947107
BaseRepresentation
bin1000000010000…
…01110101101110
311200210011222120
410001001311232
5114222103132
610404053410
71445464620
oct401016556
9150704876
1067378542
1135040550
121a694266
1310c6157a
148d3cc10
155dae02c
hex4041d6e

67378542 has 128 divisors (see below), whose sum is σ = 179159040. Its totient is φ = 16383360.

The previous prime is 67378537. The next prime is 67378543. The reversal of 67378542 is 24587376.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 67378494 and 67378503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67378543) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 629653 + ... + 629759.

It is an arithmetic number, because the mean of its divisors is an integer number (1399680).

Almost surely, 267378542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67378542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89579520).

67378542 is an abundant number, since it is smaller than the sum of its proper divisors (111780498).

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

67378542 is a wasteful number, since it uses less digits than its factorization.

67378542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206.

The product of its digits is 282240, while the sum is 42.

The square root of 67378542 is about 8208.4433359803. The cubic root of 67378542 is about 406.9182827285.

The spelling of 67378542 in words is "sixty-seven million, three hundred seventy-eight thousand, five hundred forty-two".

Divisors: 1 2 3 6 7 11 14 21 22 29 33 42 47 58 66 77 87 94 107 141 154 174 203 214 231 282 319 321 329 406 462 517 609 638 642 658 749 957 987 1034 1177 1218 1363 1498 1551 1914 1974 2233 2247 2354 2726 3102 3103 3531 3619 4089 4466 4494 5029 6206 6699 7062 7238 8178 8239 9309 9541 10058 10857 13398 14993 15087 16478 18618 19082 21714 21721 24717 28623 29986 30174 34133 35203 43442 44979 49434 55319 57246 65163 68266 70406 89958 102399 104951 105609 110638 130326 145841 165957 204798 209902 211218 238931 291682 314853 331914 387233 437523 477862 629706 716793 774466 875046 1020887 1161699 1433586 1604251 2041774 2323398 3062661 3208502 4812753 6125322 9625506 11229757 22459514 33689271 67378542