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67942680 = 23351397449
BaseRepresentation
bin1000000110010…
…11100100011000
311201211211211120
410003023210120
5114343131210
610424125240
71453334421
oct403134430
9151754746
1067942680
1135396383
121a906820
13110cb290
149048648
155e71270
hex40cb918

67942680 has 128 divisors (see below), whose sum is σ = 222264000. Its totient is φ = 16515072.

The previous prime is 67942663. The next prime is 67942687. The reversal of 67942680 is 8624976.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67942687) 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, 151096 + ... + 151544.

Almost surely, 267942680 is an apocalyptic number.

67942680 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 67942680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111132000).

67942680 is an abundant number, since it is smaller than the sum of its proper divisors (154321320).

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

67942680 is a wasteful number, since it uses less digits than its factorization.

67942680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 569 counting only the distinct ones).

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

The square root of 67942680 is about 8242.7349830017. The cubic root of 67942680 is about 408.0507914469.

The spelling of 67942680 in words is "sixty-seven million, nine hundred forty-two thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 97 104 120 130 156 194 195 260 291 312 388 390 449 485 520 582 776 780 898 970 1164 1261 1347 1455 1560 1796 1940 2245 2328 2522 2694 2910 3592 3783 3880 4490 5044 5388 5820 5837 6305 6735 7566 8980 10088 10776 11640 11674 12610 13470 15132 17511 17960 18915 23348 25220 26940 29185 30264 35022 37830 43553 46696 50440 53880 58370 70044 75660 87106 87555 116740 130659 140088 151320 174212 175110 217765 233480 261318 348424 350220 435530 522636 566189 653295 700440 871060 1045272 1132378 1306590 1698567 1742120 2264756 2613180 2830945 3397134 4529512 5226360 5661890 6794268 8492835 11323780 13588536 16985670 22647560 33971340 67942680