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67400060 = 225713291277
BaseRepresentation
bin1000000010001…
…11000101111100
311200211021111112
410001013011330
5114223300220
610404341152
71445614430
oct401070574
9150737445
1067400060
1135055732
121a6a47b8
1310c6b2c0
148d469c0
155db55c5
hex404717c

67400060 has 96 divisors (see below), whose sum is σ = 180351360. Its totient is φ = 20579328.

The previous prime is 67400033. The next prime is 67400063. The reversal of 67400060 is 6000476.

It is a junction number, because it is equal to n+sod(n) for n = 67399999 and 67400035.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67400063) 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 31 ways as a sum of consecutive naturals, for example, 52142 + ... + 53418.

It is an arithmetic number, because the mean of its divisors is an integer number (1878660).

Almost surely, 267400060 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67400060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90175680).

67400060 is an abundant number, since it is smaller than the sum of its proper divisors (112951300).

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

67400060 is a wasteful number, since it uses less digits than its factorization.

67400060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1335 (or 1333 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 67400060 is about 8209.7539549002. The cubic root of 67400060 is about 406.9615959031.

The spelling of 67400060 in words is "sixty-seven million, four hundred thousand, sixty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 29 35 52 58 65 70 91 116 130 140 145 182 203 260 290 364 377 406 455 580 754 812 910 1015 1277 1508 1820 1885 2030 2554 2639 3770 4060 5108 5278 6385 7540 8939 10556 12770 13195 16601 17878 25540 26390 33202 35756 37033 44695 52780 66404 74066 83005 89390 116207 148132 166010 178780 185165 232414 259231 332020 370330 464828 481429 518462 581035 740660 962858 1036924 1162070 1296155 1925716 2324140 2407145 2592310 3370003 4814290 5184620 6740006 9628580 13480012 16850015 33700030 67400060