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67428660 = 223513137631
BaseRepresentation
bin1000000010011…
…10000100110100
311200212201201210
410001032010310
5114230204120
610405121420
71446064005
oct401160464
9150781653
1067428660
1135075172
121a6b9270
1310c7b320
148d531ac
155dbdce0
hex404e134

67428660 has 96 divisors (see below), whose sum is σ = 205132032. Its totient is φ = 16450560.

The previous prime is 67428643. The next prime is 67428661. The reversal of 67428660 is 6682476.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67428661) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106545 + ... + 107175.

It is an arithmetic number, because the mean of its divisors is an integer number (2136792).

Almost surely, 267428660 is an apocalyptic number.

67428660 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 67428660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102566016).

67428660 is an abundant number, since it is smaller than the sum of its proper divisors (137703372).

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

67428660 is a wasteful number, since it uses less digits than its factorization.

67428660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 67428660 is about 8211.4956006808. The cubic root of 67428660 is about 407.0191500346.

The spelling of 67428660 in words is "sixty-seven million, four hundred twenty-eight thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 137 156 195 260 274 390 411 548 631 685 780 822 1262 1370 1644 1781 1893 2055 2524 2740 3155 3562 3786 4110 5343 6310 7124 7572 8203 8220 8905 9465 10686 12620 16406 17810 18930 21372 24609 26715 32812 35620 37860 41015 49218 53430 82030 86447 98436 106860 123045 164060 172894 246090 259341 345788 432235 492180 518682 864470 1037364 1123811 1296705 1728940 2247622 2593410 3371433 4495244 5186820 5619055 6742866 11238110 13485732 16857165 22476220 33714330 67428660